Research has demonstrated that textbooks exert a considerable influence on students' learning opportunities and that technology has the potential to transform mathematics instruction. This brief report provides a systematic analysis of how technology tasks are integrated into secondary mathematics curricula by analyzing a sample of 20 textbooks.…

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

The key questions are: is it true that persons with Down's syndrome can study mathematics only at a very elementary level? Might it be possible that their difficulties are mainly restricted to some fields, such as numeracy and mental computation, but do not encompass the entire domain of mathematics? Is the use of a calculator recommended? Is…

The calculator is used in conjunction with the measurement of the sides of right triangles to discover the Pythagorean property. (MP)

Two trigonometry problems are presented. The first compares the graphs of the functions arcsin[sin(x)], arccos[cos(x)], and the identity function f(x)=x. The second, using the law of cosines, demonstrates that the solution of a triangle knowing two sides and the excluded angle is no longer ambiguous. (MDH)

A method for finding the area of a circle is described which involves finding points on the circle with the aid of a calculator and then applying the formula for the area of a polygon. (MN)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Because of the extensiveness of the course outline for Math 201 (Manitoba Department of Education), schools would have had to purchase several different textbooks to cover the material adequately. Therefore, a set of materials to supplement the guide was developed. The exercises, projects, and reviews contained in this package are keyed to the 201…

Three examples are presented which involve constructions employing a compass, a centimeter ruler, and a calculator. Employing mathematical tools to support understanding and discovery of mathematical principles is viewed as being clearly a desire of mathematics educators, but it is felt such tools are not frequently used to their fullest. (MP)

Geometry and a hand-held calculator are used to find a value of pi accurate to five decimal places. (CP)

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

The following ideas are presented: plans for constructing a calculator bin rack that provides a place for a school to store and charge calculators; a lesson in geometry based on a news article about salt containers; and a very simple approach to the concept of infinite geometric series. (MP)

This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples.…