1. Examples of Math Language Experiences Words DrawingsDrawings Structured Dialogue Sheets Stories Journals SONGSSONGS Drama

2. Integrate Language Experiences to Enhance Meaning & Understanding Students can express language in different ways: Speech Writing Drawing Acting Out/Drama Song Videotape, photography/technology Language Experiences can help strengthen students abstract understandings through students describing how concrete materials & drawings represent abstract numbers, symbols & processes. Explicitly associating language with abstract representations can help students develop greater levels of conceptual understandings of the abstract representations.

3. Language Cards 4 X 5 = 20 Four groups of Five Harry Potter books Five Harry Potter books totals Twenty books Given sets of cards with appropriate phrases, students can describe the meaning of abstract representations.

4. Language Cards One-half separated into one- fourths is two (one-fourths) two (one-fourths) Given sets of cards with appropriate phrases, students can describe the meaning of abstract representations. ½ ÷ ¼ = 2

5. Photography 1 dog + 1 dog + 1 dog = 3 dogs driving! Students can take digital pictures of their surroundings (school or home) or download from appropriate free-ware online sites to communicate mathematics.

6. Photography Students can take digital pictures of their surroundings (school or home) or download from appropriate free-ware online sites to communicate mathematics. 3a = 6 when “a” is a set of two window panes

7. Concrete or Representational Level Example - Teach Students to Create Stories/Examples That Communicate Understanding at CRA Levels Example: Intersect of x & y coordinates on a plane. Speech/Words - The possible places on the football field where the Buccaneers NFL football team kicks off. Drawing: (x, y) where x=30 & y = 0; x=-30 & y=0 102030405040302010

8. Concrete or Representational Level Example: Imbed CRA in Meaningful Problem Solving Stories (Teacher Made & Student Made) The Gators quarterback threw a long pass to his favorite receiver. The play started with the ball on the Gators’ 5 yard line (right hash mark). Use the following ordered pairs to find out where on the field the pass was caught, how many yards the ball flew in the air, and how many yards the Gators gained on the play: (5, 11), (10, 21), (15, 31) 102030405040302010 15 31 34.437 I know for a triangle, a 2 +b 2 =c 2

9. Create Structured Dialogue Sheets That Provide Initial Support - Algebra: Expressions (e.g., 2a = 24) The variable in the problem is _________. I read the problem and ________ is on the left side of the = sign and __________ is on the right side. There is a ______________ next to the variable. This means that _____________________________________________ _____________________________________________ __. I can describe the expression with the following words or picture:

10. Math Journal Structured Writing Guide Problem of the day: There were 73 children on the playground. The 46 second grade students came inside. How many children were still on the playground? When I solved the problem, I got _______________. I used __________________ to solve the problem. ___________________ got ___________________. He/she used _________________________. I think we got the same/different answer because: _________________________________________.