Archive for the 'Reasoning' Category

Writing Math

As in other subjects, writing forces us to order our thoughts, make them clear to others. In mathematics, writing, as difficult as it is, helps students organize their understandings of concepts and set out for themselves their reasoning about a problem and its solution.  As stated in the Principles and Standards for School Mathematics, “students […]

Posted in Topics: Communication, Instruction, Math, Process Skills (Mathematics), Quick Takes, Reasoning

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Fractions: Multiplying and Dividing

Is there anything more difficult to explain at 5th and 6th grade level than the rules for multiplying and dividing fractions? These resources offer support in explaining the concepts that underlie the rules. Visual, interactive models are provided where possible. You will also find opportunities for your students to practice their skills in this area […]

Posted in Topics: Arithmetic, Fractions, Instruction, Math, Number and Operations, Process Skills (Mathematics), Quick Takes, Reasoning

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Testing! Beyond One-Step Math Problems

Middle school students often do well on straight calculations but feel lost when faced with more complex problems. And many tests these days require critical thinking and ask for an extended response. As in all test preparation, students need practice, especially on problems requiring more than one-step computation. Here are sites that offer test items […]

Posted in Topics: Assessment, Instruction, Math, Problem Solving, Process Skills (Mathematics), Quick Takes, Reasoning, Word Problems

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Hands-On Measuring

Students need active learning experiences to understand measurement concepts and develop important skills. These resources provide opportunities for students to problem solve with hands-on and virtual measurements in real-world and online environments.
Fit by Design or Design to Fit
This applied mathematics lesson features hands-on activities supporting the NCTM Measurement Standard, and can be used to introduce […]

Posted in Topics: 3-D Shapes, Area, Data, Geometry, Math, Measurement, National Standards, Perimeter, Process Skills (Mathematics), Pythagorean Theorem, Quick Takes, Real Data, Reasoning, Scale, Triangles, Volume

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Venn Diagrams

Venn diagrams are one of many tools used in logic and reasoning. Their use is especially helpful in learning foundational notions of definition and set theory. One of the five Process Standards promoted by NCTM, Reasoning and Proof requires middle school students to sharpen such skills as they learn to develop mathematical argument. […]

Posted in Topics: Logic, Math, Quick Takes, Reasoning, Venn Diagrams

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