A Way to Make Math Make SenseNMSA 2011

Math Journaling

Linda Bridges and Jeanne Simpson

Presenters

Virtual handout at jeannesimpson.wikispaces.com

Foldable

Sometimes teachers have to explain “why” mathematical concepts are true.

Long Division

Why can’t you divide by zero?

Why should we write in math class?

Think-Pair-Share

According to Marilyn Burns there are two major benefits:

It supports students’ learning by helping them organize, clarify, and reflect on their thinking.

It benefits teachers because students’ papers are invaluable assessment resources.

Instructor Magazine, April 1995

Writing in Math Class? Absolutely!

1. Write arguments focused on discipline-specific content.

2. Write informative/explanatory texts, including the narration of …scientific procedures/experiments, or technical processes.

3. Write narratives to develop real or imagined experiences…

4. Produce clear and coherent writing…5. …develop and strengthen writing…by

planning, revising, editing, rewriting,…

CCSS Writing Standards for Literacy in …Technical Subjects 6-12

6. Use technology, including the Internet, to produce and publish writing and present the relationships between information and ideas…

7. Conduct short research projects to answer a question…

8. Gather relevant information from multiple … sources

9. Draw evidence from informational texts to support analysis, reflection, and research.

CCSS Writing Standards for Literacy in …Technical Subjects 6-12

10.Write routinely over extended time frames (time for reflection and revision) and shorter time frames (a single sitting or a day or two) for range of discipline specific tasks, purposes, and audiences.

CCSS Writing Standards for Literacy in …Technical Subjects 6-12

Construct viable arguments and critique the reasoning of others.

Attend to precision.

CCSS Standards for Mathematical Practice

Greatest Common Factor6.NS.4. Find the greatest

common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2). Apply and extend previous understandings of numbers to the system of rational numbers.

FactorProductMultipleDivisibility

Identifying Factors

12 18

30 45

Explain a way to determine the greatest common factor of any pair of numbers.

In your journal….

6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Find a percent of a quantity as a rate per 100 (e.g., 30% of a

quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

7.RP.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Percents

Compound Probability7.SP.8. Find probabilities

of compound events using organized lists, tables, tree diagrams, and simulation. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

Analyze outcomes when rolling one and two dot cubes“Describe the probability of rolling a sum of 7 in

words and in fractions with lowest terms.”Conduct experiments with rolling two dot cubes

“Describe the results of your experiment. Compare the results with the theoretical probability of rolling a 2 one time out of every 6 rolls.”

“What do you think about the theory of large numbers?”

Design an experiment“Describe the results of your experiment.”

Analyze combinations using lists and tree diagrams“In what ways do the lists, tree diagrams, and

multiplication compare? Which representation is your first choice? Explain.”

Digital Journalinghttp://makeitinteresting.blogspot.com/

How can this work in my classroom?

One last thing….Things I learned

Things that surprised me

Question I still haveVirtual handout at

jeannesimpson.wikispaces.com