Mathematics Updates
December 2017
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Tips to Promote Students' Metacognition
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Beginning to Problem Solve with "I Notice, I Wonder"
By The Math Forum at NCTM
By asking, "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems.
View Annie Fetter's Ignite talk at the 2011 NCTM Annual Conference to get an introduction to the Notice and Wonder strategy. Find resources for implementing the strategy at http://mathforum.org/pow/noticewonder/.
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Teaching Channel Videos ... and More
Grades K-2
Grades 4-5
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An Alternative to SWBAT (Students Will Be Able To)
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Engaging Resources for Students from NCTM
PreK - Grade 2
In this lesson, students classify buttons and make disjoint and overlapping Venn diagrams. In an extension, they make and record linear patterns.
Grades 1-2
Students learn how to count, collect, exchange, and make change for coins. The coin tiles help with counting as students learn the value of each coin.
Grades 3-5
Students explore taking a pulse, collecting, and interpreting data, making predictions, and drawing conclusions. The lesson focus is the collection and analysis of data.
Grades 6-8
Students explore applications involving their own heart. This activity involves students in interpreting factual information in a variety of problem-solving situations. Students also create and solve an original problem. The authentic assessment format makes connections between science and math.
Grades 9-12
Two line segments can be drawn to intersect in various ways, forming different quadrilaterals by connecting the endpoints of the segments. This discovery activity reveals types of quadrilaterals that can be formed when the diagonals meet in various ways.
Grades 9-12
Automobile Mileage: Year vs. Mileage
Students plot data about automobile mileage and interpret the meaning of the slope and y-intercept in the resulting equation for the least squares regression line in the context of the real-life application.
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December Math Professional Learning
December 7, 3 p.m. - Webinar
Upgrading Differentiation in the Elementary Grades
Join Jessica Hockett, coauthor of Differentiation in the Elementary Grades: Strategies to Engage and Equip All Learners, to explore five commonly adopted practices in elementary classrooms that can impede or prevent true differentiation. In this informative webinar, attendees will gain insights about each of these practices and learn principles and strategies for "upgrading" to more sophisticated applications of differentiation. Registration required: goo.gl/UhME78
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Research base
Fetter, A. (2016). An alternative to SWBAT. [Video file]. Math Forum Ignite at the 2016 NCTM Annual Meeting, San Francisco, CA. Retrieved from https://www.youtube.com/watch?v=8ssjZvR__QQ
Math Forum at NCTM. (2016). Notice and wonder. Retrieved from http://mathforum.org/pow/noticewonder/
National Council of Teachers of Mathematics. (n.d.). NCTM Illuminations. Reston, VA: Author.
Teaching Channel (Producer). (n.d.). Concept first, notation last. [Video file]. Retrieved from https://www.teachingchannel.org/videos/teaching-inequalities
Teaching Channel (Producer). (n.d.). Dot talks: Building fluency with numbers. [Video file]. Retrieved from https://www.teachingchannel.org/videos/addition-math-lesson-ousd
Teaching Channel (Producer). (n.d.). Formative assessment: Understanding fractions. [Video file]. Retrieved from https://www.teachingchannel.org/videos/formatively-assess-fraction-knowledge-sbac
Teaching Channel (Producer). (n.d.). Multiplication number talk: Fourth and fifth grade. [Video file]. Retrieved from https://www.teachingchannel.org/videos/4th-5th-grade-number-talks
Teaching Channel (Producer). (n.d.). One problem, many approaches. [Video file]. Retrieved from https://www.teachingchannel.org/videos/multiple-approaches-to-solving-problems
Teaching Channel (Producer). (n.d.). Reviewing linear equations in two variables. [Video file]. Retrieved from https://www.teachingchannel.org/videos/linear-equation-misconceptions-ccssmdc