Measurement and Fair-Sharing Models for Dividing Fractions
Jeff Gregg, Diana Gregg
Construction of two algorithms for
dividing fractions, the common-denominator algorithm and the
invert-and-multiply algorithm. The rationale behind each algorithm is related
to the measurement or fair-sharing interpretations of division. Examples and
sample problems are included.
Mathematics, Art, Research, Collaboration, and Storytelling: The High M.A.R.C.S. Project
Edel Reilly, Gian Pagnucci
Article discusses a curriculum integration project. The High M.A.R.C.S.
Project linked Mathematics, Art, Research, Collaboration, and Storytelling. Includes
samples of student work from the project, and discusses how the student work
Anticipating Student Responses to Improve Problem Solving
How problem solving can be enhanced through careful planning and problem
presentation. Article discusses the value of anticipating student responses and
provides helpful prompts to further the problem-solving process. Includes
student work samples.
Be Resolute about Absolute Value
Conceptualization of absolute value.
Article discusses reasons for absolute value being a distance from 0. Includes
number line representations of absolute value.
Emotion and Thought
The role of emotions in mathematics
teaching and learning. Includes discussion regarding the teacher being alert to
the needs and attitudes of students and the teacher's ability to respond to
students' needs and modify students' attitudes. Article is reprinted from
Mathematics Teacher, in honor of the 100th anniversary.
Building an Online Discussion Group for Teachers
Randall Groth, Jennifer Bergner
The formation of a pedagogy-focused
online discussion group for middle school mathematics teachers. Article
discusses a six-lesson plan for those seeking to establish a similar discussion
group among their colleagues.
Classified Index, Volume 12, August 2006–May 2007- FREE PREVIEW!
A classified index by author and title for Volume 12 of Mathematics Teaching in the Middle School.