Math Roots: The Beginnings of the Metric System
Art Johnson, Kit Norris
The history of the metric system,
from a proposal of a sixteenth-century mathematician to its implementation in
Revolutionary France some 200 years later. Recent developments in the metric
system are discussed, along with where the United States stands on officially
adopting the metric system.
It's the Thought That Counts: Reflecting on Problem Solving
Sally Roberts, Carla Tayeh
How metacognitive skills contribute
to the teaching and learning of problem solving in mathematics. Teacher
candidates kept metacognitive journals while solving math problems. Excerpts
from the journals are used to show how the teacher candidates improved problem
solving skills by becoming aware of their problem solving strengths and
Using Error Analysis to Teach Equation Solving
How to use error analysis to expand student's mathematically reasoning
skills. Four error analysis activities are described based on the topic of
solving equations, but the activities can be used for a wide range of topics.
Using Alice in Wonderland to Teach Multiplication of Fractions
How the story of Alice in Wonderland
helps students understand the operation of multiplying by a rational number
less than 1 and related aspects of ratio and proportion. Activity sheets are
included as well as guidelines on how to use the novel as a cross curricular
Engaging Contexts for the Game of Nim
Charles Reeves, Rosemarie Reeves Gleichowski
Various versions of the traditional
game of Nim and demonstrations of how working backward can be used to find a winning
strategy. The link is then made between working backward and using inverse
operation to solve equations. Other problems are presented in which students
can use their developed skills of working backwards.
Not Just for Computation: Basic Calculators Can Advance the Process Standards
Laura Moss, Barbara Grover
Using two real-world situations, this
article describes in detail how the use of basic calculators can be the basis
for an instructional strategy. Student worksheets are provided that require
student to first estimate, then record the calculator key strokes used to
arrive at their answer. By completing this activity, students will explore the
fraction, decimal, percent relationships as well as explore the meaning of the
remainder in division. Additional real-world situations are provided.
Finding Areas on Dot Paper
Investigative activities to assist
students in constructing area formulas by partitioning geometric shapes on dot
paper. Formulas are found in square units and triangular units (on isometric
dot paper). Algebraic concepts are used to relate the triangular unit to the
square unit and compare formula's for both units.
Psychology of Learning in the Junior High School
Research done on the rate at which students learn at various ages.
Research done on motivating students is also included. This article is
reprinted from Mathematics Teacher 49 (April 1956).