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Thinking Maps Strategies & The Forgotten Fear Factors of “Multiple Guess” EOG Math Assessment by Janie MacIntyre by Janie MacIntyre.

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Presentation on theme: "Thinking Maps Strategies & The Forgotten Fear Factors of “Multiple Guess” EOG Math Assessment by Janie MacIntyre by Janie MacIntyre."— Presentation transcript:

1 Thinking Maps Strategies & The Forgotten Fear Factors of “Multiple Guess” EOG Math Assessment by Janie MacIntyre by Janie MacIntyre

2 Janie MacIntyre's Fear Factors in Math Agenda “Big Picture” Fear Factors for Math Bridge Map Strategy for Vocabulary in Context Vocabulary of Thought Processes & Thinking Skills Comprehension & Analysis of Question Stem The Correct Answer What do students need to remember? What about the plain sheet of paper? Developing Review Packets Enhancing the Testing Environment Informing and Involving Parents Parents Night Out Test Taking Tips for Students & Parents Q & A

3 Janie MacIntyre's Fear Factors in Math There are 43 instructional days before EOGs. How will you be using them?

4 Janie MacIntyre's Fear Factors in Math Activity 1: Big Picture In Math Use Cumberland County’s Pacing Guide, Task Analysis and Order of Instruction to determine what you still need to teach. (36 weeks) Do you want to allocate days for EOG review? Briefly, note your instructional plan between now and the EOG’s This will allow you to focus on instruction within the finite amount of time that remains.

5 Big Picture in Math for Hope Mills & Gray’s Creek Mar 6-11 (Benchmark Window) Mar. 12 13 14 17 18 19 20 21 24 25 26 27 28 31 Apr.1 2 3 4 7 8 9 10 11 Apr.14 15 16 17 18 21 22 23 24 25 28 29 30 May1 2 5 6 7

6 Janie MacIntyre's Fear Factors in Math Flow Map: Janie’s Countdown to End-of-Grade Tests WeekInstructionSupport Strategies 3-10 3-14 3-17 3-21 3-24 3-28 Spring Break 3-31 4-4 4-7 4-11 4-14 4-18 4-21 4-25 4-28 5-2 5-5 5-9 5-12 5-16 This will vary depending on your system’s pacing guide, or your class demands. Plan EOG Test Enhancers Continue to teach G&O with renewed focus Combine goals Model everyday Begin to build your EOG Cheat Sheet Begin to assimilate your class’ Review Packet Continue to build self-confidence in students Begin time simulation practice Send Test Taking Tips to Parents Plan and hold “ Parents Night Out” Teach “Not to be missed” but obscure items Execute EOG Test Enhancers

7 Janie MacIntyre's Fear Factors in Math “(Janie)’s Big Picture for Math EOG” Label folder Glue Big Picture calendar on left. We will be adding other items to the folder.

8 Janie MacIntyre's Fear Factors in Math Reflections on the “Big Picture” What did you learn from this process? How could having the “big picture” at your fingertips impact instruction in your classes? How would you compare your feelings at the beginning of the activity and when you had completed your “big picture”? Could this process benefit others in your school?

9 Janie MacIntyre's Fear Factors in Math Activity 2 With a Focus on Comprehension of the Question Stem… and then the Correct Response, let’s examine the of Multiple Guess Assessment.

10 Janie MacIntyre's Fear Factors in Math What provides the stimulus for this activity? Janie’s personal use of these strategies in her classroom. The success of other math teachers with these strategies. The need for our students to be taught to successfully demonstrate their learning on standardized tests.

11 Janie MacIntyre's Fear Factors in Math First, let’s examine some assumptions that teachers can make… That students know vocabulary in context and assessment vocabulary. That students comprehend what the problem is asking and know how to paraphrase what it requires students to do. That students can provide the mathematical reasoning and calculation to “prove” the answer is correct.

12 Janie MacIntyre's Fear Factors in Math Student inquiries tell us what the Fear Factors are… “What does this word mean?” “What is this problem asking? “What do I have to do to solve it?” “How do I solve it? “What should my answer be?” “How can I tell if my answer is correct?

13 Janie MacIntyre's Fear Factors in Math Fear Factor # 1-- Vocabulary Students must have the opportunity to identify unfamiliar vocabulary in the context of the question. How do teachers and students address this factor?

14 Janie MacIntyre's Fear Factors in Math Let’s examine… In your packet, take five minutes to read the question stems on p. 1 entitled “Question Stems for Unfamiliar Words”. As you read, circle any words which you think might be unfamiliar to the average student.

15 Janie MacIntyre's Fear Factors in Math “Question Stems & Questions for Unfamiliar Words in Math” Which expression is equivalent to… What is this distance expressed in scientific notation… What is the approximate measure of angle JKM… If he separates the land into two congruent triangles, what will be the area of each… The radius of a circular garden is about 15 feet. About how much fencing will be needed to go around the outer edge of the garden? What is the maximum possible number of points of intersection between an equilateral triangle and a circle in the same plane? Which set of coordinates results from a translation of figure JKLM? Triangle PQR will be rotated 90 degrees counterclockwise about the origin. What will be the coordinates of “R” prime? What is the probability that a randomly selected bird at the zoo will be large and black? How long is the deck in the scale drawing? Quinn tosses a fair coin and then rolls a fair number cube with faces labeled 1-6. What is the probability that the results will be heads and a number less than three? Jeanette wants to determine the most popular car in her town. Which plan would give the most accurate results? What is the solution of the inequality? What is the value of “x” in the following equation? If the pattern on the graph continue, which rule can be used to find the second number in the ordered pair (5,_)? What is the ratio of the volumes of the two cubes? Which of the following completes the proportion? A city’s daily temperature in January fluctuated between –7 degrees and 2 degrees. What was the temperature range? A copy machine reduces a 12” line segment to 10.5”. At this setting, what would a 16” line segment become?

16 Janie MacIntyre's Fear Factors in Math Did you identify any of these words as unfamiliar words in these stems? composedscale drawingrisen representsproportionalaverage rational numbers satisfiescombined shortest route assuming double-shaded square root intersectscontains approximatetransformedarranged equationdialationrandomly irrationalscale factornew image rate describes the behaviorinvestment stock sequencevalue originally costdescendsequivalent

17 Janie MacIntyre's Fear Factors in Math Expression Equivalent Scientific notation Approximate Separates Congruent Area Radius Circular Maximum Intersection Equilateral Plane Set Coordinates Translation Rotated Counterclockwise Origin Probability Random Fair coin Fair number cube Faces Determine Accurate Solution Inequality Value Equation Pattern Graph Ordered pair Ratio Volume Proportion Fluctuated Range Reduces Line segment

18 Janie MacIntyre's Fear Factors in Math If so, what strategy? Assist students with the use of a visual (Bridge Map) with the relating factor “is defined as”. This visual is particularly helpful for the reoccurring words in question stems and is a concise way to study vocabulary.

19 Janie MacIntyre's Fear Factors in Math is defined as descend composed transformed proportional ___________ _________ as _________ as __________ as _________ (Relating Factor) decline formed by changed similar diminish be made of altered related drop contains modified somewhat alike

20 Janie MacIntyre's Fear Factors in Math According to Marzano.. one of the best retention strategies for helping students retain unfamiliar vocabulary words is the use of an illustration; therefore, allow students the opportunity to add an illustration to the Bridge Map.

21 Janie MacIntyre's Fear Factors in Math is defined as descend composed transformed proportional ___________ _________ as _________ as __________ as _________ (Relating Factor) decline formed by changed similar diminish be made of altered related drop contains modified somewhat alike

22 Janie MacIntyre's Fear Factors in Math is defined as ___________ _________ as _________ as __________ as _________ (Relating Factor) Now…its your turn Choose four of the words you circled in the question stems and create a Bridge Map like the one below with the relating factor is defined as. Do not use the words I modeled. Put the word on top of the line and the definition or synonyms underneath the line. Then draw an illustration or an associated picture below the definition to help seal the word’s meaning in your mind. Use a note card

23 Janie MacIntyre's Fear Factors in Math is defined as ___________ _________ as _________ as __________ as _________ (Relating Factor) is defined as ___________ _________ as _________ as __________ as _________ (Relating Factor)

24 Janie MacIntyre's Fear Factors in Math In your table groups… share the words you used and the illustration chosen to “seal” the word’s meaning with your co-workers. Choose the table’s favorite two terms to share with the whole group. Do you want a master set of all the terms the whole group developed?

25 Janie MacIntyre's Fear Factors in Math Getting Ready: Take a sheet of colored, legal- length paper Fold in half…hamburger bun-style Re-open the paper, revealing the 4 sections (front and back) Number in the top left hand corner of each section 1 3 2 4 front back

26 Janie MacIntyre's Fear Factors in Math Bridge Map with unfamiliar terms including picture Sharing of perceptions to “seal” comprehension Vocabulary lists (from 1 st session) Pyramid game (from 1 st session) Master set from all participants Green Sheet Notes: Fear Factor # 1- Vocabulary in Context

27 Janie MacIntyre's Fear Factors in Math Fear Factor # 2 The Vocabulary of Thought Processes and NC Thinking Skills Levels Students must have the opportunity to recognize the synonyms for frequently occurring questions such as classify cause/effect comparison/contrast sequence analyze How do teachers and students address this factor?

28 Janie MacIntyre's Fear Factors in Math Organizing Applying Analyzing Generating Integrating Evaluating Description: arranging info so demonstrating clarifying producing new connecting & assessing the it can be used prior knowledge existing info information, combining quality of effectively within a new by examining meaning or information ideas & situation parts & ideas reasonableness relationships Math EOG Thinking Skills Levels Information (Adapted From NCDPI Assessment Brief) “Verbs likely categorize apply outline conclude combine judge to be used group make diagram predict summarize evaluate in directions classify show differentiate explain design rate & EOG compare record explain elaborate imagine verify questions.” contrast construct analyze infer generalize assess demonstrate define illustrate set criteria page 10

29 Janie MacIntyre's Fear Factors in Math At the bottom of the handout create a Tree Map: Verbs Likely To Be Used Circle Tree Bubble Double-Bubble Multi-Flow Flow Brace Bridge Define Classify Describe Compare Cause Sequence Whole Relationships Contrast Effect Part Do students need to use the bridge map vocabulary strategy with each of these terms?

30 Janie MacIntyre's Fear Factors in Math Teachers must make students aware of the synonyms for classifying at various thinking skills levels. Synonyms for classifying arrange categorize group classify generalize What others can we add?

31 Janie MacIntyre's Fear Factors in Math Look at the transformation shown in the grid below. What single transformation is represented? A.vertical reflection B.horizontal reflection C.rotation D.translation Can you see the Tree Map classifying the different types of transformations?

32 Janie MacIntyre's Fear Factors in Math Which set contains only ordered pairs that satisfy y = 4x + 5? A.{(-2,0), (2,11), (7,34)} B.{(-2,-3), (2,13), (7,33)} C.{(-2,-3), (2,3), (7,35)} D.{(-2,-13), (2,3), (7,23)}

33 Janie MacIntyre's Fear Factors in Math Which ordered pair, (x,y), makes the equation y = -2x - 3 true? A.(3,-9) B.(5,-6) C.(4,-7) D.(2,-11)

34 Janie MacIntyre's Fear Factors in Math Teachers must make students aware of the synonyms for the cause/effect thought process. Synonyms for Cause/Effect Causes Effect Why? Result How? Impact Causes Influences on Reasons Outcome Because Consequences Explain Conclude Infer Predict Isn’t is obvious why these types of questions are confusing for students?

35 Janie MacIntyre's Fear Factors in Math Which is an equation of the line that passes through the points (5,2) and (-5,-2)? A. y = 2 / 5 x B. y = 1 / 5 x - 2 / 3 C. y = 8 / 5 x + 6 D. y = 2 / 5 x - 4

36 Janie MacIntyre's Fear Factors in Math Kim went to the store to buy hanging ornaments for her house. The cost for 10 ornaments is $45.00, including tax. If she only wants 7 ornaments, how much will she have to pay altogether? A.$31.50 B.$7.00 C.$45.00 D.$58.50

37 Janie MacIntyre's Fear Factors in Math Jodie runs a school radio station and decided to do a survey to find out which type of music is most preferred by students at her school. Jodie surveyed all the students who listen to the school station between 1:00 pm and 3:00 pm, which is when they play country music. How does this method affect the data set? A.This method is affected because students listening during this time probably enjoy country music. B.This method is an accurate measurement of music preference. C.This method is affected by how many students were absent when the survey was taken. D.This method is affected since she cannot sample every student listening during this time.

38 Janie MacIntyre's Fear Factors in Math If the length of a rectangle is reduced by half, but its width stays the same, what will happen to its area? A.The area will be half as large. B.The area will be twice as large. C.The area will be four times as large. D.The area will be one-fourth as large.

39 Janie MacIntyre's Fear Factors in Math A triangle has the following vertices: (-3,-1), (-1,4), and (1,-1). If the triangle undergoes a dilation with a scale factor of 2, what will be the vertices of the resulting image? A.(-6,-4), (-2,8), (2,-2) B.(-6,-2), (-2,8), (2,-2) C.(-6,-2), (-2,8), (4,-2) D.(-6,-2), (-2,6), (2,-2)

40 Janie MacIntyre's Fear Factors in Math La'Keisha wants to know what kind of ground beef is preferred by the people in her city. Which of these plans would give her the most accurate results to answer her question? A.Conduct a random telephone interview of people who live in neighboring cities. B.Conduct a sample survey of all of the vegetarians that she knows. C.Conduct a random survey of adults entering the library on the weekend. D.Conduct a sample survey of people entering a grocery store during one week.

41 Janie MacIntyre's Fear Factors in Math Zachary's favorite puzzle is a circular picture of a pizza. If the radius of the puzzle is 6 inches, then what is the circumference of the puzzle? (Use 3.14 for pi.) A. 75.36 inches 2 B. 113.04 inches 2 C. 18.84 inches 2 D. 37.68 inches 2

42 Janie MacIntyre's Fear Factors in Math If a rectangle has an area of 120 cm 2, then what will be the area of the rectangle if its length is reduced by two-thirds, and its width stays the same? A.13.3333333333 cm 2 B.24 cm 2 C.20 cm 2 D.40 cm 2

43 Janie MacIntyre's Fear Factors in Math Teachers must make students aware of the synonyms for comparison/contrast. Synonyms for Comparison/Contrast Comparison Contrast similar different share differ similarities differences alike unique in common in contrast similarity dissimilar same opposite differentiate If number comparisons are being made could proportional reasoning be used?

44 Janie MacIntyre's Fear Factors in Math In a model of Jessica's office, the scale is 1 inch = 2 feet. The length of her office is 18 feet and the width is 6 feet. What is the area of the model of Jessica's office? A.48 square inches B.27 square inches C.243 square inches D.54 square inches

45 Janie MacIntyre's Fear Factors in Math Mike got a toy fire truck for his birthday, and on the box it says that it is a scale model of an actual fire truck that is 10.8 feet tall. If the toy truck is 2.7 inches tall and 11 inches long, then how long is the actual fire truck? A.44 feet B.4 feet C.29.7 feet D.29.16 feet

46 Janie MacIntyre's Fear Factors in Math Look at the relationship between a and b. a 6 9 1215 b  42 63 84 105 Which equation below describes the relationship between a and b? A.b = 6 ÷ a B.b = 48 - a C.b = 7 × a D.b = 36 + a

47 Janie MacIntyre's Fear Factors in Math Teachers must make students aware of the synonyms for sequence. Synonyms for sequence order of chronological order steps in the process of What is the sequence of From the beginning to the end First time, second time, At first, then rank Isn’t is obvious why these types of questions are confusing for students?

48 Janie MacIntyre's Fear Factors in Math Simplify: 5(4x - 5y) - 2(2x - 2y) A.16x - 21y B.16x + 21y C.12x - 16y D.24x - 21y

49 Janie MacIntyre's Fear Factors in Math Solve the following inequality: 4a - 16 15 C.a > 16 D.a > 17

50 Janie MacIntyre's Fear Factors in Math Simplify the expression below. (9 + 12) - 2 × 4 A.49 B.15 C.13 D.76

51 Janie MacIntyre's Fear Factors in Math During an experiment, a scientist prepares 2 petri dishes containing bacteria. Petri dish A contains 3.7 × 10 8 bacteria. Petri dish B contains half as many bacteria as petri dish A. Which of the following is the number of bacteria in petri dish B? A.740,000,000 B.1,850,000,000 C.185,000,000 D.365,000,000

52 Janie MacIntyre's Fear Factors in Math Let’s examine… In your packet, take a few minutes to read the question stems on pp.11-13 entitled “EOG Math Items by Thinking Skills”. Circle the words or phrases that indicate these thought processes. How do students know that these questions are addressing the same thought processes without familiarizing them with the synonyms?

53 Janie MacIntyre's Fear Factors in Math Strategy Familiarize the students with the synonyms and sample question stems to help them understand and identify these frequently assessed thought processes. Strategy Use visuals to assist students in “seeing” the thought process. Spend time analyzing the stems for the same thought process stated in various ways.

54 Janie MacIntyre's Fear Factors in Math Cognition-specific Thinking Maps are the best visuals to choose. The Multi-Flow Map for Cause/Effect Cause Event Effect Why?

55 Janie MacIntyre's Fear Factors in Math La'Keisha wants to know what kind of ground beef is preferred by the people in her city. Which of these plans would give her the most accurate results to answer her question? A.Conduct a random telephone interview of people who live in neighboring cities. B.Conduct a sample survey of all of the vegetarians that she knows. C.Conduct a random survey of adults entering the library on the weekend. D.Conduct a sample survey of people entering a grocery store during one week.

56 Janie MacIntyre's Fear Factors in Math EOG Cause Question in a partial Multi-flow (because the question will not address both cause and effect. La'Keisha wants to know what kind of ground beef is preferred by the people in her city. Which of these plans would give her the most accurate results to answer her question? A. B. C. D. Reason why? La’Keisha’s results are accurate. Students can identify and explain the impact of random sampling.

57 Janie MacIntyre's Fear Factors in Math If a rectangle has an area of 120 cm2, then what will be the area of the rectangle if its length is reduced by two- thirds, and its width stays the same? A.13.3333333333 cm2 B.24 cm2 C.20 cm2 D.40 cm2

58 Janie MacIntyre's Fear Factors in Math EOG Effect Question in a partial Multi-flow (because the question will not address both cause and effect). If a rectangle has an area of 120 cm2, then what will be the area of the rectangle if its length is reduced by two-thirds, and its width stays the same? Length of rectangle is reduced by two-thirds. A. B. C. D. Effect/ Outcome Students need to explain the impact of change in dimensions on area.

59 Janie MacIntyre's Fear Factors in Math The Double Bubble Map for Comparison/Contrast or Similarities/Differences. Double-Bubble Topic 1 Comparisons/ Similarities Topic 2 contrasts/ differences contrasts/ differences

60 Janie MacIntyre's Fear Factors in Math Mike got a toy fire truck for his birthday, and on the box it says that it is a scale model of an actual fire truck that is 10.8 feet tall. If the toy truck is 2.7 inches tall and 11 inches long, then how long is the actual fire truck? A.44 feet B.4 feet C.29.7 feet D.29.16 feet

61 Janie MacIntyre's Fear Factors in Math The Double Bubble Map for Comparison/Contrast or Similarities/Differences. Double-Bubble Actual Fire Truck Comparisons/ Similarities Toy Fire Truck contrasts/ differences contrasts/ differences 10.8 feet tall (129.6”) 2.7 inches tall 11 inches long ?

62 Janie MacIntyre's Fear Factors in Math Proportional Reasoning is warranted any time.. two different quantities are set up as equals. Problems involving comparison/ contrast can be easily visualized with the use of a bridge map.

63 Janie MacIntyre's Fear Factors in Math R.F If the length of the toy truck is ____ feet long, then the length of the real truck is ____ feet long. Toy Fire Truck 2.7”__ 11” Real Fire Truck 129.6” ? 2.7x = 1425.6” x = 1425.6” 2.7” x = 528” (or 44’) The length of the real fire truck is 44 feet.

64 Janie MacIntyre's Fear Factors in Math Flow Map for Sequence/Chronological Order Step 1 Step 2 Step 3 Step 4… substage

65 Janie MacIntyre's Fear Factors in Math EOG Sequence Question in a Flow Map Question: In the data below, which city has the coldest temperature for November: City Average Temperature P -13 Q 59 R -15 S 32 A. P B. Q C. R D. S -1559 RP -13 S 32 D coldestwarmest city

66 Janie MacIntyre's Fear Factors in Math In the equation p=4j-9.5, what should be done first in solving for j? A. divide by 4 B. subtract 9.5 from both sides C. add 9.5 to both sides D. multiply both sides by 4 Sequence for solving 2 step equation: Remove whole # with inverse operation Remove coefficient with inverse operation Compute as needed Compute as needed C. Add 9.5 to both sides

67 Janie MacIntyre's Fear Factors in Math Strategy: Word Wall Synonyms for Thinking Skills Synonyms for classifying arrange categorize group classify generalize Synonyms for Cause/Effect Causes Effect Why? Result How? Impact Causes Influences on Reasons Outcome Because Consequences Explain Conclude Infer Predict Synonyms for Comparison/Contrast Comparison Contrast similar different share differ similarities differences alike unique in common in contrast similarity dissimilar same opposite differentiate Synonyms for sequence order of chronological order steps in the process of What is the sequence of From the beginning to the end First time, second time, At first, then rank

68 Janie MacIntyre's Fear Factors in Math Green Sheet Notes: Fear Factor # 2- Vocabulary of Thought Processes and Thinking Skills Levels 1.Bridge Map Strategy for “DPI’s Verbs Likely to Be Used in Directions and EOG Questions” 2. Synonyms for Thought Processes 3.Use of Thinking Maps 4.On-going Word Walls

69 Janie MacIntyre's Fear Factors in Math Fear Factor #3: Comprehension and Analysis of the question stem Students must have the opportunity to paraphrase the question stem and analyze the problem in order to comprehend what the question is “really” asking. How can teachers and students address this factor?

70 Janie MacIntyre's Fear Factors in Math Lucy Calkins in A Teacher’s Guide to Standardized Tests states- “Sam was falling into a typical trap set by test makers. He was not comprehending what the question was asking…”(p. 117) Let’s look at some examples of “misinterpreted” questions from her text:

71 Janie MacIntyre's Fear Factors in Math The students’ “Comprehension” of the Questions Original Question: How could the report be done to produce a representative sample of 100 students? -We need to find student representatives. -We need to find the product. -We need to randomly choose students. -We need to word process the report. Which “paraphrase” demonstrates the “true” comprehension of the question?

72 Janie MacIntyre's Fear Factors in Math Original Question: How many tickets must the drama club sell to make a profit? Students’ paraphrased responses: We need the total number sold. We need to divide $500 by $10. We need the amount collected minus how much they had to spend. We need to divide $500 by $11. We need to have $500 be greater than the amount we charge per ticket minus the cost for printing the ticket. Which paraphrase demonstrates the “true” comprehension of the question? Original Question: What effect will this change have on the volume of the container? Students’ paraphrased responses: We need to determine the new volume. We need to subtract the new volume from the old volume. We need to compare the original and new volume and define the change that happened. Which “paraphrase” demonstrates the “true”comprehension of the question?

73 Janie MacIntyre's Fear Factors in Math Let’s examine! In your packet, take two minutes to read the question stems entitled “Question Stems to Paraphrase”. In the space beneath the question, paraphrase two of the questions by interpreting what the question is asking. Discuss how your students might incorrectly paraphrase Share with a colleague. Then we will share orally. page 15

74 Janie MacIntyre's Fear Factors in Math Question Stems to Paraphrase 1.Which of the following best describes the behavior of a student’s GPA as the number of clubs he/she joins increases? 2.The student body has 700 members. The school board predicts that student membership will increase by 15% each year. What is the expected membership after three years? 3.In 1995, 9% of adults used a computer to access the internet. In 2005, this percentage had jumped to 74%. This is an increase of 65 percentage points. What is the percent of increase over the 10 year period? 4.An aerial photograph is taken of a school with a scale of 1 inch=14 yards. The sidewalk to the football field is 84 yards long. How long is the sidewalk in the picture? 5.Paul and Sam are sitting at the top of a ferris wheel that is exactly 50 feet above the ground. How far will Paul and Sam travel around before they reach the top position again?

75 Janie MacIntyre's Fear Factors in Math How do students know what paraphrasing a question means? Strategy: Familiarize students with the definition and practice of paraphrase (to restate or interpret). Model this process numerous times for the students. Have students practice by providing them with numerous opportunities to paraphrase both orally and in writing.

76 Janie MacIntyre's Fear Factors in Math What does Calkins say about their strategies to address paraphrasing and these misinterpretations? She states- “Together, we looked at the questions and their paraphrased counterparts. The kids were surprised when they realized how different some interpretations of the questions were from the questions themselves. With partners, they discussed which interpretations would help them and which would lead them astray.

77 Janie MacIntyre's Fear Factors in Math Over the next few days, doing this together as a class, in partners, and individually, the kids became much more adept at understanding what a question required them to do-(what the question was asking). No longer, we hoped, would they be seduced by the answer that matched part of the problem if that wasn’t what the question called for”. (p. 118)

78 Janie MacIntyre's Fear Factors in Math Questioning can help students comprehend & analyze the problems or question stems What do I “see”? What am I given? What information will I need? What triggers are provided? What should I think about? What do I really have to do? What given information will help me? How do I complete what I have to do?

79 Janie MacIntyre's Fear Factors in Math Cheat Sheets for Test Prep May help students “visualize” the problem. May help students focus their efforts appropriately. May provide insight for critical information. May provide direction as they proceed in solving the problem or answering the question.

80 Janie MacIntyre's Fear Factors in Math Student’s love the idea of a cheat sheet!!! Continue to develop as an on-going project. Include it as a cornerstone in the students’ EOG review packet. R.F. When you encounter a problem involving ___ think about or use ____.

81 Janie MacIntyre's Fear Factors in Math Use the Circle/Underline Strategy for Comprehension & Item Analysis Leaving her office, Alyson took the elevator up five floors to a meeting. She then went down twelve floors to the cafeteria. The cafeteria is located on the fourth floor. Where is Alyson’s office located? Circle all words that signify a number or quantity. Underline all terms that signify an operation. (use tree map) Translate circled and underlined words into symbols they represent. Construct numerical or algebraic expression. Solve. How does it work?

82 Janie MacIntyre's Fear Factors in Math Use the Circle/Underline Strategy for Item Analysis Leaving her office, Alyson took the elevator up five floors to a meeting. She then went down twelve floors to the cafeteria. The cafeteria is located on the fourth floor. Where is Alyson’s office located? A 5 12 4 = + - (A+5)-12=4

83 Janie MacIntyre's Fear Factors in Math Key Operation Terms AdditionSubtractionMultiplicationDivision Sum Total In all Altogether Plus Increase Deposit Gain More than* Greater than* Taller than* Higher than* Difference Minus Decrease Reduce Less Least Withdrawal Less than* Fewer than* Smaller than* Shorter than* Lower than* Product Of Multiply Per Doubled (x 2) Tripled (x 3) Times Twice (x 2) Quotient Same Size Divided by Equal amounts Shared equally Same size *Items should be written from right to left!

84 Janie MacIntyre's Fear Factors in Math You try it! There are thirty-seven more boys than girls in the eighth grade. Which equation below represents the comparison of the number of girls (g) to the number of boys (b). (g+37)=b

85 Janie MacIntyre's Fear Factors in Math Can we use circle/underline here? What is the product of the square root of 169 and the cube root of 343? What is the product of the square root of 169 and the cube root of 343? W = * √169 ³ √343 W= * ³ √343 √169

86 Janie MacIntyre's Fear Factors in Math Model with colored pencils Students are allowed to use highlighters on EOG tests within their test booklets. But the paper is so thin the ink usually “bleeds” through to the next page. Our Director of Testing indicated that student use of colored pencils was acceptable. Verify with the Director of Testing for your system.

87 Janie MacIntyre's Fear Factors in Math Use circle/underline to solve this problem. Amanda has four marbles. Kathy has three times as many marbles as Amanda minus one she has lost. Which expression represents this information?

88 Janie MacIntyre's Fear Factors in Math Green sheet Notes Fear Factor #3: Comprehension and Analysis of the question stem 1.Paraphrasing 2.Key Questions 3.Cheat Sheets 4.Circle Underline 5.Use colored pencils to highlight **Add Key Operation Terms to Word Wall

89 Janie MacIntyre's Fear Factors in Math Fear Factor # 4 The Correct Answer Students must have the opportunity to find the correct answer. How can teachers and students address this factor?

90 Janie MacIntyre's Fear Factors in Math Let’s examine! In your packet, take one minute to read the questions on entitled “Questions to Use for Answer Analysis” on page 21. You will find the correct answer circled. Question: Should a teacher give the student the correct answer to a multiple “guess” question? Strategy: Yes, but allow them the opportunity to prove the correct answer with mathematical reasoning and calculation by creating the following visual (partial Multi-flow Map)--

91 Janie MacIntyre's Fear Factors in Math Questions to Use for Answer Analysis 1.What is the slope of the line given by the linear equation below? 3x – 4y = -16 a.4/3 b.-3/4 c.3/5 d.3/4

92 Janie MacIntyre's Fear Factors in Math Why? Note: Students are not always expected to state three examples of textual evidence. It depends on the question. The correct answer to question _____is _____. Directions: Provide students with multiple choice question. Give the students the correct answers to the multiple choice questions. Complete the calculation to prove the answer is correct. Then students should construct the visual (partial Multi- flow Map) with answer in center. Students should include reasoning & calculations supporting the correct answer in the boxes on the left.

93 Janie MacIntyre's Fear Factors in Math Why? Note: Students are not always expected to state three examples of textual evidence. It depends on the question. -4y=-3x-16 y=3/4x+4 slope = 3/4 y=mx+b where m=slope b=y intercept Written in standard form, we must write in slope-intercept form The correct answer to question __1___is d_. Directions: Provide students with multiple choice question. Give the students the correct answers to the multiple choice questions. Complete the calculation to prove the answer is correct. Then students should construct the visual (partial Multi- flow Map) with answer in center. Students should include reasoning & calculations supporting the correct answer in the boxes on the left.

94 Janie MacIntyre's Fear Factors in Math Questions to Use for Answer Analysis Lance is sealing envelopes for his father. He can seal 11 envelopes a minute. How many envelopes can he seal in 2 ½ hours? a.1,650 b.1,540 c.1,760 d. none of the above

95 Janie MacIntyre's Fear Factors in Math You Try It! Note: Students are not always expected to state three examples of textual evidence. It depends on the question. The correct answer to question _____is _____. Directions: Provide students with multiple choice question. Give the students the correct answers to the multiple choice questions. Complete the calculation to prove the answer is correct. Then students should construct the visual (partial Multi- flow Map) with answer in center. Students should include reasoning & calculations supporting the correct answer in the boxes on the left.

96 Janie MacIntyre's Fear Factors in Math Another Strategy:

97 Janie MacIntyre's Fear Factors in Math Here’s the answer… What is the question? ??????????????????????????????????? A. its ability to spread B. where it came from C.where it grows D.its winter hardiness

98 Janie MacIntyre's Fear Factors in Math A STRATEGY FOR “BRINGING IT ALL TOGETHER” ON AN INDEX CARD…

99 Janie MacIntyre's Fear Factors in Math Question 1 Unfamiliar vocabulary (create a Bridge Map or list a single word). Sometimes you might ask students to List unfamiliar words in the answer choices. Thought process vocabulary (if applicable). Paraphrase question stem.Correct answer with reasoning & calculation evidence (Create partial Multi-flow Map).

100 Janie MacIntyre's Fear Factors in Math Students can use the index card strategy: individually in cooperative groups for modeling with your class

101 Janie MacIntyre's Fear Factors in Math Green Sheet Notes: Fear Factor # 4 The Correct Answer 1.Give students the correct answer 2.Use a partial multi-flow map for reasoning and calculation evidence to support correct answer 3.Jeopardy Game 4.Note card Strategy

102 Janie MacIntyre's Fear Factors in Math Do you have any questions about the Fear Factors?

103 Janie MacIntyre's Fear Factors in Math Activity 3: Let’s do something concrete… to help students remember the things we have worked so hard to teach them. Turn to page 24 in your handouts.

104 Janie MacIntyre's Fear Factors in Math In your handouts, find and complete the Circle Map defining… (add to the Frame, also.) What do you want your students to remember while they take the math EOG? What do you want students to write on the plain paper to help them remember? page 24

105 Janie MacIntyre's Fear Factors in Math Please share your ideas with your coworkers.

106 Janie MacIntyre's Fear Factors in Math Reflections on Circle Map Activity What impact did this activity have on you? Did you detect any barriers in completing it? Why did you choose to include these specific items? Did you add anything as a result of our sharing?

107 Janie MacIntyre's Fear Factors in Math In Grade Level Groups 1.Use a sheet of plain paper to design what you want your students to include on the plain sheet of paper they will be given during EOG tests. (see page 25) 2. Construct a flow map sequencing how you will teach them to use this idea.

108 Janie MacIntyre's Fear Factors in Math My students will learn how to use the plain EOG paper by:

109 Janie MacIntyre's Fear Factors in Math Present your ideas to the whole group.

110 Janie MacIntyre's Fear Factors in Math Activity 4: EOG Review Packet To support students, we need to develop a review packet of the things you want them to be able to remember. This would be the expanded form of the information you would want them to include on the plain sheet of white paper we just designed. Use a piece of plain paper to list the elements you need to compile for your review packets.

111 Janie MacIntyre's Fear Factors in Math Janie’s EOG Review Packet Special Calculator Keys Cheat Sheet for Test Prep Formulas for Perimeter, Area, Volume, & Surface Area Statistics Pythagorean Theorem Number Comparisons Probability Geometry Goodies Other “class” and “student-specific” needs.

112 Janie MacIntyre's Fear Factors in Math Special Calculator Bridge Maps should Be specifically tailored for the calculator your students use. Additional special keys would be needed for scientific calculators, etc.

113 Janie MacIntyre's Fear Factors in Math Bridge Map Analogies/Relationships Relating Factor: The ______ key is used to __________. ____Simp____ _____/_________A b/c ______Unit_____ ______Fix____ Reduce Enter Convert Enter Round Fractions Fractions Improper Fr. Mixed #’s Numbers to Mixed #’s ____x²______ ____10 n _____ _____y x ______ ____F D____ Enter any # Enter any power Enter any power Converts Fractions To the 2 nd power of 10 of any number to Decimals

114 Janie MacIntyre's Fear Factors in Math Continue the calculator keys bridge map with other calculator keys. Use for concept review Reference tool for student use throughout the school year on class work or homework Use as a part of EOG study & review tools On-going development with students throughout the year

115 Janie MacIntyre's Fear Factors in Math My EOG Review Packet Includes: ________________ ______________ ______________ ______________ ______________ ______________ ______________ ______________ Share with your grade level.

116 Janie MacIntyre's Fear Factors in Math Activity 5: Enhancing the Overall Testing Environment (Count off 1-6)

117 Janie MacIntyre's Fear Factors in Math Enhancing the Overall Testing Environment You have unlimited resources. You can implement anything you wish to encourage students. Brainstorm suggestions that should enhance the overall testing environment. The sky is the limit!!!

118 Janie MacIntyre's Fear Factors in Math Enhancing the Testing Environment Supt.AdminTeachersPTO News Media The sky is the limit. What do students need to be highly successful? What incentives could be used to motivate students now? (Diploma is a long wait!) Bribe? Absolutely! Bribe? Absolutely! Parents 1 23456

119 Janie MacIntyre's Fear Factors in Math Enhancing the Test Environment Put Name of Stakeholders at top of chart paper Brainstorm Choose Spokesperson Share with entire group Add ideas from others Homework: Share this activity with your administrator and site-based committee. Complete this activity at your next faculty meeting Implement your plan!!

120 Janie MacIntyre's Fear Factors in Math Activity 6: Informing and Involving Parents

121 Janie MacIntyre's Fear Factors in Math Parents Night Out for EOG Enlist the support of the staff of your school and your parent organization to host a Parent’s Night Out for EOG. Supply Parents with NCDPI Information about the testing program. Share sample questions showing what children are expected to be able to do. Suggest strategies that can be used at home to support their children. Enlist their support in Enhancing the Testing Environment.

122 Janie MacIntyre's Fear Factors in Math In Grade Level Groups… 1. Generate the information you want parents to know about EOG Math tests. 2.Generate specific ways parents can support their child’s efforts toward being successful with the Math EOG. 3.Work toward having a Parent’s Night for EOG. 4. How will you provide the information and suggestions to parents who are unable to attend the school session?

123 Janie MacIntyre's Fear Factors in Math Parents Night Out Info for Parents Parents can support by: Inform absent parents by: Making It Happen

124 Janie MacIntyre's Fear Factors in Math Find “Test Taking Tips” in your handouts Read the tips for both parents and students. Discuss pages 27-29

125 Janie MacIntyre's Fear Factors in Math Test-Taking Tips Most of the items included are those common sense reminders that we would love to share but seldom put them in print, or assume everyone remembers. Please feel free to duplicate these “Tips for Parents” and “Tips for Students”. They are typically sent to all parents in the report card envelopes in the spring and I send them again the week of EOG tests. They are included on our website, and mentioned in Connect Ed messages. What are other ways we can use them?

126 Janie MacIntyre's Fear Factors in Math Take out the “Big Picture” Folder Title the right side “Support Strategies” Include a list of things you plan to do in preparation and support for the EOG Math Test

127 Janie MacIntyre's Fear Factors in Math Flow Map: Janie’s Countdown to End-of-Grade Tests WeekInstructionSupport Strategies 3-10 3-14 3-17 3-21 3-24 3-28 Spring Break 3-31 4-4 4-7 4-11 4-14 4-18 4-21 4-25 4-28 5-2 5-5 5-9 5-12 5-16 This will vary depending on your system’s pacing guide, or your class demands. Use FEAR FACTOR STRATEGIES Plan EOG Test Enhancers Continue to teach G&O with renewed focus Combine goals Model everyday Begin to build your EOG Cheat Sheet Begin to assimilate your class’ Review Packet Continue to build self-confidence in students Begin time simulation practice Send Test Taking Tips to Parents Plan and hold “ Parents Night Out” Teach “Not to be missed” but obscure items Execute EOG Test Enhancers

128 Janie MacIntyre's Fear Factors in Math Q & A Please feel free to contact me with any questions or concerns: Janie MacIntyre 812 Nichole Lane Rocky Mount, N.C. 27803 252-903-7274 or 252-937-8418


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