Discusses the use of technology to investigate what graphs represent as well as how to interpret graphs. (MKR)

Presents algebraic and geometric solutions with surprising twists to a word problem involving linear functions and postal rates. (MKR)

Provides activities that introduce the sine and cosine functions in a hands-on manner. Includes ideas for assessment. Contains reproducible student worksheets. (MKR)

Provides a teacher's guide and activity sheets designed to introduce students to three patterns of reasoning in inferential logic. Students learn to construct arguments from diagrams and, given an argument, illustrate the argument with a Venn diagram, then study the diagram to see if the argument is valid or invalid. (MKR)

Beliefs about mathematics of 26 junior and senior high school students were explored using interviews conducted before and after exposure to problem-solving software. A concept model of subjects' general beliefs about mathematics and their relationships was developed. Data analysis did not indicate any change in beliefs about mathematics following…

Discusses two answers to the question of why we teach calculus in the college mathematics curriculum: (1) calculus is used in real mathematical applications across a variety of disciplines; and (2) the historical development of calculus exposes students to the foundation of the scientific world view. (MDH)

The LOGO programing of 30 ninth graders was analyzed from 3 theoretical perspectives: the van Hiele levels, the Structure of Observed Learning Outcomes taxonomy, and Skemp's model of mathematical understanding. Results indicate that success in LOGO programing appears necessary but insufficient for success with the geometric aspects of the analyzed…

Provides a proof that, if two angle bisectors of a triangle are equal in length, the triangle is isosceles (Steiner-Lehmus Theorem) using two corollaries related to a side-side-angle correspondence in a triangle. Introduces historical developments in the discussion of the proof. (MDH)

Study examined the effect of frequent testing on eleventh grade algebra students' performance. One group was tested weekly and another biweekly for two months, then the testing schedule was reversed for two months, over eight months. Results indicated definite performance improvements during weekly versus biweekly testing. Students preferred…

Shows a way in which algebra and geometry can be used together to find the lengths and areas of spirals. This method develops better understanding of shapes, similarity, and mathematical connections in students. Discusses spirals embedded in triangles and squares, the Pythagorean theorem, and the area of regular polygons. (MKR)

Describes a mathematics review game that can be adapted to any content topic and which calls for the active participation of all students throughout the activity. (MKR)

Swedish students in their final year of secondary school have decided not to write their required subject area essay on mathematics resulting from a lack of ideas and materials. Described are 47 elaborate suggestions by Swedish mathematicians for project work and the effort to sell the idea to Swedish teachers. (MDH)

Discussed are the rationale for, and the benefits accrued from, the use of graphing calculators within all aspects of the secondary mathematics curriculum. Examples are included that highlight specific features of graphing calculators. (JJK)

Part I describes the presentation of six different proofs of the Pythagorean Theorem by groups of three students in a party atmosphere. Part II delineates the analysis behind a student conjecture concerning the area of certain closed polar-coordinate figures. Part III proposes a categorical worksheet for determining when to apply the proper rule…

The recursive model presented here involves the study of drugs in the bloodstream and their subsequent elimination from the body. Both a basic and a more realistic model are presented and discussed in terms of an algebraic approach, a recursive approach, the graphical representation, and other extensions and connections particularly with models…