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Examples of Math Language Experiences. Drawings. Words. Stories. Journals. S O N G S. Structured Dialogue Sheets. Drama. Integrate Language Experiences to Enhance Meaning & Understanding. Students can express language in different ways: Speech Writing Drawing Acting Out/Drama
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Examples of Math Language Experiences Drawings Words Stories Journals S O N G S Structured Dialogue Sheets Drama
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.
Language Cards Given sets of cards with appropriate phrases, students can describe the meaning of abstract representations. 4 X 5= 20 Five Harry Potter books Fourgroups of totals Twenty books
Language Cards Given sets of cards with appropriate phrases, students can describe the meaning of abstract representations. ½ ÷ ¼ = 2 One-half separated into one-fourths is two (one-fourths)
Photography Students can take digital pictures of their surroundings (school or home) or download from appropriate free-ware online sites to communicate mathematics. 1 dog + 1 dog + 1 dog = 3 dogs driving!
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
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
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) 34.437 I know for a triangle, a2+b2=c2 31 15
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:
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: _________________________________________.