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Why are we Writingand Reading?

This is MATH class!

How to teach students to interpret math symbols and graphics to words?

(this is where I started)

I can integrate the literacy strands (reading, writing, listening, observing, and speaking) into my math class.

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What is mathematical literacy?

“The ability to read, listen, think creatively, and communicate about problem situations, mathematical representations, and the validation of solutions will help students to develop and deepen their understanding of mathematics.”

( NCTM Standards)

Bruner, 1979

No better way exists to learn mathematics than by attempting “to catch its complexities in the constraining structure of words.”

Research SourcesOnline

Books

Curriculum Coordinator

Other Teachers

Student Samples

Widgets cost $7 each, with a shipping charge of $11 per order. How many widgets can you order for $88? Show all work and write a complete sentence.

88-11 = 11 7

7x + 11 = 88X=11

7x + 11 = 88 - 11 -11 7x = 77 7 7 x = 11 widgets

You are baking cookies for a bake sale. You already have 24 made and are making 24 cookies per hour. Your best friend is also making cookies, but they have none made and will be making 36 cookies per hour. Write an equation for the total number of cookies you will make and one for the total number that you friend will make. Find the intersection point and explain what it means.

(2, 72)By graphing, I see that the intersection point is (2, 70). So in 2 hours we will have the same amount of cookies made, 70.

X = 2 Y= 72

____(blank)___________

Where the two lines cross.

When the two equations are the same.

At first you will make more cookies, but at 2 hours you both make 72 cookies. After that your friend will make the most cookies.

VocabularyTo write out an explanation or explain what their results mean students must know the vocabulary.

Vocabulary A new term must be used

between 6 -14 times before a student will know it.

Word Wall- continually build it and NEVER take any of it down

Flash Cards

Vocabulary

Math Vocabulary and Everyday English Vocabulary- NOT all words mean the same› What is the difference between 5 and 12?12 – 5 = 7 5 is odd and 12 is even.

Graphic Organizers

Graphic Organizers provide visual representations of concepts or ideas and can help students organize their thoughts.

FrayerModel

Definition Characteristics

Examples Non-examples

Equation

DefinitionA math statement that sets two expressions equal to one another.

CharacteristicsALWAYS has an = signCould have numbers or variables and operation symbols

ExamplesB = 3

y = mx + b

3z – 4 = 13

Non-examples11x > 12

3x + 8

2

Problem:

Solution:

Explanation:

FIVE

STEP

PROBLEM

SOLVING

DO VO

U

Summarize what you are asked to DO

VOcabulary

The work yoU do.

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Part 1

Think-AloudVerbally saying what you are thinking when solving a problem

Think-Aloud By verbalizing what you are

thinking while solving a problem, teachers are modeling how expert thinkers solve problems.

By having students think-aloud while they are solving a problem, teachers can see where the misconceptions lie.

Think-Aloud If students can verbally

explain what they are doing and why they are doing it, they will be able to write down their explanations.

Think-Aloud You may need to begin by

having Directed Think-Alouds for the students. You may need to use questions to direct the students if they become stuck or ensure of what to say.

Think Aloud

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Part 2

Learning Logs

Math Log

Learning Logs They provide a place for

students to reflect or write down their thinking on the content covered in class.

They are not a journal, because journals are for personal or private feelings not focused on class content.

Learning Logs They provide practice

writing about a concept to let the student evaluate how well they know the concept.

They can be used at any point during a lesson:› Before› During› After

Learning Logs: Before Lesson

› Problematic Situations- Students write or guess potential solutions for the problem.

› Yesterday’s News- Students have 5 minutes to write a note to a student explaining one idea from the previous class that they believe is important.

› One-liners – Write one sentence about the importance of something they learned in the previous lesson.

Learning Logs: During Lesson

› Fast Food for Thought- after explaining a concept or process have the students write a question that they still have about the topic and switch papers with their neighbor. Then answer the neighbors question.

› Out of This World- You are an alien from another planet, who crashes to earth outside of school. You enter and your first stop is this classroom. Write down your observations of the lesson, teacher, and students in the class.

Learning Logs: After Lesson

› Read the Instructions- Students write instructions for how to solve a problem or perform a skill they just learned in class.

› The Last Word- Students write a letter to the teacher telling what they do not understand or what they need help with in the current unit.

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Part 3

Take the shapes we used in the beginning of our activity and group them into three different groups. Each shape should fit into ONLY one group.

A Step FurtherProp.

TermsEqui-angular

Equi-lateral

4 Sides 3 Sides

Convex Opp. Sides Par.

Pentagon x

Square X X X x X

Triangle x X

Rhombus X X x X

Hexagon

Regular Polygon

X X x

Rectangle x x x x

Online Videos

Khan Academy