Math Journaling. A Way to Make Math Make Sense NMSA 2011. Presenters. Linda Bridges and Jeanne Simpson. Virtual handout at jeannesimpson.wikispaces.com. Foldable. Long Division. Sometimes teachers have to explain why mathematical concepts are true. . Why cant you divide by zero?. - PowerPoint PPT Presentation
A Way to Make Math Make SenseNMSA 2011
Linda Bridges and Jeanne Simpson
Virtual handout at jeannesimpson.wikispaces.comFoldable
Sometimes teachers have to explain why mathematical concepts are true. Long Division
Why cant you divide by zero?
Why should we write in math class?Think-Pair-ShareAccording 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 1995Writing in Math Class? Absolutely!Write arguments focused on discipline-specific content.Write informative/explanatory texts, including the narration of scientific procedures/experiments, or technical processes.Write narratives to develop real or imagined experiencesProduce clear and coherent writingdevelop and strengthen writingby planning, revising, editing, rewriting,
CCSS Writing Standards for Literacy in Technical Subjects 6-12
Use technology, including the Internet, to produce and publish writing and present the relationships between information and ideasConduct short research projects to answer a questionGather relevant information from multiple sourcesDraw evidence from informational texts to support analysis, reflection, and research.CCSS Writing Standards for Literacy in Technical Subjects 6-12
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 Factor
6.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 1100 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.
FactorProductMultipleDivisibilityIdentifying Factors12181430451516Explain 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.
7.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 cubesDescribe the probability of rolling a sum of 7 in words and in fractions with lowest terms.Conduct experiments with rolling two dot cubesDescribe 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 experimentDescribe the results of your experiment.Analyze combinations using lists and tree diagramsIn what ways do the lists, tree diagrams, and multiplication compare? Which representation is your first choice? Explain.
How can this work in my classroom?
One last thing.Things I learned
Things that surprised me
Question I still have
Virtual handout at jeannesimpson.wikispaces.com