Category Archives: Articles and Papers

This page contains articles that pertain to different K-12 Math topics.

Spending the Holidays Catching up on Reading Math Blogs

I subscribe via email to a lot of math blogs.  They are always entertaining and often give me new insights and ideas.  I call this reading my “research” (a bit lighter research than I did in my grad course days).  … Continue reading

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McTighe and Wiggins on the Common Core: Five Big Ideas Connecting the Standards to Curriculum

Jay McTighe and Grant Wiggins have published a paper From Common Core Standards to Curriculum: Five Big Ideas that is a distillation of their take on how best to approach the implementation of the Common Core State Standards (CCSS).  They … Continue reading

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Study shows understanding of fractions and whole number division leads to later success in algebra

A Carnegie Mellon University study led by Robert Siegler found that elementary students understanding of fractions and whole number division were predictors of success in algebra and higher level mathematics. Quotes from a Carnegie Mellon Press Release: ‘The research team … Continue reading

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Michael Hock, Vermont Department of Ed, Paper on High School Math

Michael Hock has written an interesting paper discussing the possible reasons for the lack of success of Vermont’s high school students on the NECAP given in 11th grade. Here is the link: http://education.vermont.gov/documents/EDU-SBE_2012_03_20_Item_J_High_School_Math.pdf

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How to Write a Good Mathematics Task

This article, written by Kristin Umland, was found on Bill McCallum’s website.  It is a short, but informative, description of things to keep in mind when writing a math task. what_is_a_good_task_short-1

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Progressions Document for Grades 6 – 8 Mathematics: Expressions and Equations

ccss_progression_ee_2011_04_25 This document, published in draft form by the Common Core Mathematics Writing Team, discusses the progression of Expressions and Equations concepts through Grades 6 – 8.

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Progressions Document for Grades 6 – 8 Mathematics: Statistics and Probability

ccss_progression_sp_68_2011_12_261 This document, published in draft form by the Common Core Mathematics Writing Team, describes how Statistics and Probability concepts progress through Grades 6 – 8.

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Recommendations for PD for K-8 Math

These two papers, originally posted on Bill McCallum’s website, recommend needed areas of focus for professional development in mathematics to prepare teachers for implementing the CCSS Mathematics.

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Draft of “Examples of Structure of the Common Core Math” by Jason Zimba

This paper, still in draft form, was written by Jason Zimba, one of the authors of the CCSS Mathematics.  It is a great discussion of how the different domains flow through the grades.

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Pythagoras, Measurement, and the Geoboard

This article was published in the March 2007 edition of NCTM’s Teaching Children Mathematics.  I wrote it in response to my work with a group of Grade 5 students as a new elementary school principal.  I had been a high … Continue reading

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