How Fast Do Trees Grow? Using Tables and Graphs to Explore Slope
Elana Joram, Vicki Oleson
A lesson unit in which students constructed tables and graphs to represent
the growth of different trees. Students then compared the graphs to develop an
understanding of slope. Includes student samples and outcomes.
A Look at the Development of Algebraic Thinking in Curriculum Focal Points
Cathy Seeley, Jane Schielack
How to put into practice the new NCTM publication,
Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics: A
Quest for Coherence. Included are specific algebraic standards
for grades K through 8 and examples of problems students should be able to
solve at different grade levels.
Integrating Mathematics and Social Issues
mathematics with social issues to provide a rich context for connecting
mathematical activities to the real world. The sample activities focus on
measurement concepts. Activity sheet and examples of student work included.
I Can't Write All the Way to 100: Recognizing Students' Emerging Algebraic Strategies
Vanessa Pitts Bannister, Jesse Wilkins
Concepts exhibited by seventh-grade
prealgebra students as they approached algebraic-thinking tasks. Article
discusses students approaches to modeling the simple linear growth pattern of
the height of a stack of plastic cups. Sample tasks with student responses
Teaching Multiplication Algorithms from Other Cultures
Multiplication algorithms from different cultures around the world: Hindu,
Egyptian, Russian, Japanese, and Chinese. Students can learn these algorithms
and better understand the operation and properties of multiplication. Includes
tabular and pictorial demonstrations of the algorithms.
Is Silence Golden? What Silent Participants Might Be Learning in Discourse-Rich Classrooms
Amy Hillen, Margaret Smith
One concern raised for teachers who are creating discourse-rich learning
environments is what students who remain silent during discussions might learn.
This article considers this issue by examining the learning of one silent
participant—a preservice secondary mathematics teacher. Included are example
problems used to generate discussions and sample dialogues between the
participants in the course.