1. Rosa De Leon and Lauren Walch
Building Academic Vocabulary in Math
Rosa De Leon and Lauren Walch

2. Objective:
Teachers will have an understanding of how to teach vocabulary within the math framework following Marzano’s six-step process.
Marzano, R. J. and Pickering, D., (2005). Building Academic Vocabulary Teacher’s Manual. Alexandria, VA: ASCD.

3. Does this look familiar?

4. Vocabulary Development
“Good vocabulary instruction helps children gain ownership of words, instead of just learning words well enough to pass a test. Good vocabulary instruction provides multiple exposures through rich and varied activities to meaningful information about the word.”
(Stahl & Kapinus, 2001, p. 14)

5. When should vocabulary be taught?
If you are taking your students through an exploration, vocabulary instruction can take place after the exploration to cement what was learned.
If a formal lesson is used, vocabulary instruction should take place prior to instruction.
Vocabulary can also be embedded within your whole group instruction, summarizing and note taking.
Reference the Vocabulary time allotted in Math Framework

6. Why should vocabulary be taught explicitly?
Research has shown that direct and explicit instruction is an effective way for students to acquire vocabulary knowledge.
Students must encounter words in context more than once to learn them.
Instruction of new words supports learning when used in context.
(Marzano, Pickering, and Pollock, 2001, )
(Hiebert & Kamil, 2005; McKeown & Beck, 2004; Stahl & Nagy, 2006)
Students must encounter words in context more than once to learn them.
Studies show students need to be exposed to a word at least six times before they have enough experience with the word to ascertain and remember its meaning.

7. Six-Step Process: Marzano
1. Explain
2. Restate
3. Graphical Representation
Together, these steps can help ensure that teachers appropriately introduce new terms and help students develop an initial understanding of them.
4. Activities
5. Discussions
6. Games
These steps describe different types of multiple exposures that students should experience over time to help them shape and sharpen their understanding of the terms.
(Marzano and Pickering, 2005, pp )

8. Step 1: Provide a description, explanation, or example of the new term.
Ask students what they know about the term.
Build on students understanding
(Marzano and Pickering, 2005, p. 15)
Avoid
Student
Guesses
Address misconceptions, affirm correct information. Do NOT have students guess the meaning… incorrect associations may be what they remember.
Introducing direct experiences, such as, field trip or guest speaker or current events.
Tell a story integrating the term.
Use video, computer images and pictures.
Share your own mental pictures.

10. Address struggling learners:
Step 2: Ask students to restate the description, explanation, or example in their own words.
It is critical that instead of simply copying what the teacher has said, the students “own” the new words by constructing their own meanings for the words.
The construction of the term does not need to be comprehensive, but efforts
should be made to ensure
they do not contain major
errors.
Address struggling learners:
Provide additional descriptions, explanations, or examples.
Allow students to discuss the term with a partner or in a small group.
If students have a general idea but are struggling with stating what they are thinking, move onto Step 3 and ask them to provide a non-linguistic representation, and then go back to the linguistic description.

11. Step 3: Ask students to construct a picture, symbol or phrase.
Ask students to construct a picture, symbol, or graphic representation of a term; this forces them to think of the term in a totally different way.
Research shows that one of the best ways to learn a new word is to associate it with an image.
(Marzano and Pickering, 2005)
Students believe they cannot draw.
Model, model, model.
Provide examples of your own or others drawings that are rough but represent the ideas.
Initially, let students work together.
Students would rather copy written definition.
Discuss with them the power of pictures.
Allow students to work together.
Ask students to share personal stories how pictures have helped them learn.
The students, and you, are having trouble depicting the term.
Practice and help students practice, because different types of terms require different types of pictures.
Go to the internet and search for images for the term.

12. Step 4: Engage students periodically in activities that help them add to their knowledge of the terms in their notebooks.
Understanding deepens over time if students continually reexamine their understanding of a given term.
Activities should be designed to
engage students explicitly in the
focused review of targeted items.
(Marzano and Pickering, 2005)
Research and common sense tell us….

13. Step 5: Periodically ask students to discuss the terms with one another.
Interacting with other people about what we are learning deepens the understanding of everyone involved- particularly when we are learning new terms.
Although student discussions can be informal and unstructured, the teacher may want to provide a structure.
Research suggests….
Sample structure: Think Pair Share

14. Step 6: Involve students periodically in games that allow them to play with terms.
Games are one of the most underused instructional tools in education.
Many types of games can help teachers keep new terms in the forefront of students’ thinking and allow students to reexamine their understanding of terms.
It is important to set aside blocks
of time each week to play games
in order to energize students and
guide them in the review and use
of important terms.

15. ELPS and Vocabulary Instruction
C1(C)  use strategic learning techniques such as concept mapping, drawing, memorizing, comparing, contrasting, and reviewing to acquire basic and grade-level vocabulary;
C1(E)  internalize new basic and academic language by using and reusing it in meaningful ways in speaking and writing activities that build concept and language attainment;
C1(F)  use accessible language and learn new and essential language in the process
Requirement Met
By implementing a systematic process for teaching vocabulary, you address the ELPS and the needs of your special education students, while increasing math literacy.

16. What other components are needed?

19. Word Walls
Give students a permanent reference for vocabulary, allowing them to review words daily and ultimately improve their comprehension.
Teachers and students should periodically interact with word wall.
Current words should be added as they are taught.
Effort should be made to distinguish between old and new terms.
After first bullet ask teachers to discuss ways to make word wall interactive.

22. Math Words with Multiple Meanings
Three categories of terms:
SAME: Words that have the same meaning in “Math English” as in “Standard English.”
dollars, cents
ONLY MATH: Words that have meaning only in “Math English.”
numerator, isosceles
DIFFERENT: Words that have different meanings in “Math English” and in “Standard English.”
table, right
UCTM Annual Math Conference 2009 22

23. “Pass the Plate”
The team will pass the plate for a period of 2 minutes writing as many mathematical words that have multiple meanings.
One person will start by writing a word on the plate when time begins, then pass the marker and plate to the next person in the team.
The next team member will write a new word on the plate and pass it on.
The plate will continue to rotate among each team member until time is called.

24. Confusing Terms, Formats and Symbols in Mathematics
( ) • x ∞ < > ~ ÷ √ ± \ ≥ ≤
∆ → ↔ ∴ % ° ∩ ∪ ∈ 𝜋 𝜃 ! ││ ┴ ²
ǁ ´ ³ « » Ø ↺ ⇜ ∗ ∠ ≠ /
UCTM Annual Math Conference 2009

25. Things to remember….. Marzano’s 6-step process Interactive Word Wall
Words with multiple meanings
Symbols in math

26. Resources
Marzano, R. J. and Pickering, D., (2005). Building Academic Vocabulary Teacher’s Manual. Alexandria, VA: ASCD.