The author of this paper submits that humans have a natural inquisitiveness; hence, mathematicians (as well as other humans) must be active in learning. Thus, we must commit to conjecture and prove or disprove said conjecture. Ergo, the purpose of the paper is to submit the thesis that learning requires doing; only through inquiry is learning…

There has been a long held perception that the field of mathematics is more appropriate for males than for females. The construct, mathematics as a male domain, has been considered a critical variable in explanations for females' under-representation in the most demanding mathematics subjects offered at school and higher education, and in related…

This document provides a preliminary report of the study Gateways To Advance Mathematical Thinking (GAMT) run by Educational Development Center, Inc. (EDC). The study was designed to see what types of reasoning students who have recently completed a linear algebra course apply to problems in algebraic thinking. Student interviews were used as the…

It is not complex to teach the algorithm for multiplying fractions so that children can multiply numerators and denominators to arrive at correct answers. However, it is a challenge to teach so that students build understanding of multiplication of fractions, extending what they have already learned about fractions and about multiplication of…

Noting that young children often need many experiences with a mathematical concept before they fully understand the concept, this annotated bibliography lists children's books for presenting mathematical concepts within a context and details activities that extend the text as a way to engage children in hands-on mathematical learning experiences.…

Whole numbers written in spiral or triangular patterns with spaces occupied by prime numbers blocked in produces interesting visual patterns. Described is a game based on these patterns that may be played at many different levels. (JP)

Number sequence patterns for counting boundaries of familiar figures are extended to higher dimensions. (JP)

Results indicated that females in the retention index treatment retained significantly more than females in either the choice or fixed group, while males in the choice treatment retained more than males in the other groups. (Author)

Discusses the reduction of the one- and three-dimensional diffusion equation to the difference equation and its stability, convergence, and heat-flow applications under different boundary conditions. Indicates the usefulness of this presentation for beginning students of physics and engineering as well as college teachers. (CC)

Multiple embodiment is explained and discussed, with activities described that might be used to develop concepts in geometry and in arithmetic. A series of questions is raised about the choice, use, and organization of embodiments; suggestions for action research are made. (DT)

Implication of findings for designing an introductory mathematics curriculum are discussed. (Authors)