Free Articles from NCTM Middle School Math Journal

Take a free look at the articles from the NCTM middle school journal – Mathematics: Teaching in the Middle School. Explore and share with others. Check out the Reflection Guides. They provide professional development support linked to specific articles for individual, small groups or school use.Digesting

Student-Authored Story Problems
August 2010, Volume 16, Issue  1

Problems with nth-Term Problems:
Reflect and Discuss
September 2010, Volume  16, Issue  2

Map the Race to the White House
October 2010, Volume  16, Issue  3

Exploring Our Complex Math Identities
November 2010, Volume  16, Issue  4

Multiplication Fact Fluency Using Doubles
December 2010, Volume  16, Issue  5

Fold in Origami and Unfold Math
February 2011, Volume  16, Issue  6

All These Rays! What’s the Point?
March 2011, Volume  16, Issue  7

Problem Solving around the Corner
April 2011, Volume  16, Issue  8

Tailoring Tasks to Meet Students’ Needs
May 2011, Volume  16, Issue  9

Article and Reflection Guide – Technology
Technology Enhances Student Learning across the Curriculum
Several forms of technology that can enhance basic understandings and skills of middle school mathematics concepts are discussed, including technologies such as Calculator Based Ranger (CBR), Spreadsheets, and Geometer’s Sketchpad. February 2004, Volume 9, Issue 6, pp. 344-349

Triangles Online

How much you want your middle school students to learn about triangles depends on many factors you take into account as you plan. If lesson ideas that are “hands-on,” actually or virtually, enter into that planning, you may find this wide range of resources useful. Please share your own teaching ideas with colleagues by commenting on this post!

Discovering the Area Formula for Triangles
In this lesson, students develop the area formula for a triangle. Students find the area of rectangles and squares, and compare them to the areas of triangles derived from the original shape. Student handouts are included here.

Congruence of Triangles (Grades 6-8)
With this virtual manipulative, students arrange sides and angles to construct congruent triangles. They drag line segments and angles to form triangles and flip the triangles as needed to show congruence. Options include constructing triangles given three sides (SSS), two sides and the included angle (SAS), and two angles and an included side (ASA). But the option that will motivate most discussion is constructing two triangles given two sides and a nonincluded angle (SSA). The question in this case is: Can you find two triangles that are not congruent?

Here students can manipulate one of six geometric figures on one side of a line of symmetry and observe the effect on its image on the other side. A triangle may be selected and then translated and rotated. The line of symmetry can be moved as well, even rotated, giving more hands-on experience with reflection as students observe the effect on the image of the triangle.

The Pythagorean Theorem
This site invites learners to discover for themselves “an important relationship between the three sides of a right triangle.” The site’s author, Jacobo Bulaevsky, speaks directly to students, encouraging them throughout five interactive exercises to delve deeper into the mystery. Within each exercise he gives hints that will motivate and entice your students.

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