One teacher's approach to the development of number sense while using calculators is outlined. The relationship between number sense and calculation is discussed. Teaching strategies and two worksheets used in this approach are presented. (CW)

This classic reprint was first published in 1955. Fehr discusses how to determine what is taught, and makes specific comments on the roles of planning, meaning, practice, learning, and problem solving. (MNS)

An examination of the status of teaching mathematics to deaf students showed that teachers ignore the hands-on exploration of objects that promotes conceptualization of basic mathematic principles. An arithmetic teaching strategy is proposed which is activity-based and is derived from Piaget's theory of intellectual development in children.…

Three elementary students with behavioral disorders were trained to use a cognitive "cover, copy, and compare" strategy to learn division facts. Two students increased their rate of correct responding to mastery level, the third student required additional feedback and goal setting, and all three students maintained increased rates of…

Discusses three methods to teach the order of operations to middle school students: (1) asking students to fill in operations in a statement to obtain a given answer; (2) using mnemonics to remember operation order; and (3) having students discover the logic system used by their calculators. (MDH)

Simple connections between prime numbers, methods for obtaining prime numbers, characteristics of prime numbers, and the relationship of primes to high order numbers are discussed. (CW)

This article explains how this method is done, examines some reasons for including it as a topic in mathematics curricula, and uses modular arithmetic to explore its mathematical basis and its generalizability to computations in bases other than 10. (CW)

In this essay, the authors suggest that there is another, different and more ancient way of looking at the moral and social role of the teacher and the processes of education in which she is involved. This alternative perspective draws on older, more imaginative and complex sources of meaning than the latest Gallup poll or the latest adjusted…

The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…

When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter level, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school be clarified. In this study we focus on the teaching and learning of "division with…

Rhymes are often useful teaching devices for small children, and can even become a creative resource for teaching mathematics. The students and their teachers can change many of them to better fit their environment and/or extend the rhyme so that higher numbers are involved. A number of rhymes and folk tales lend themselves to more detailed…

Manipulatives are the way to our future and the way to new knowledge. No matter where we turn or what we do, we as a society are using some form of manipulative in our lives. Mathematics is changing all of the time from basic arithmetic to basic calculus. Therefore, children in today's classroom deserve to have that extra tool to help them grasp…

This curriculum guide, developed by an adult basic education program for disadvantaged women, provides methods for teaching mathematical concepts and operations including whole numbers, fractions, decimals, and percents. The curriculum illustrates methods and activities that bridge the gap between numerals (the symbols of mathematical…

Arithmetic programming for students with mild mental disabilities requires a comprehensive perspective that includes attention to curriculum, instruction, and appraisal. Arithmetic computation should not dominate educational programming, but should be included in ways that are functionally relevant and meaningfully presented within a framework of…

In the social learning perspective the anticipation of rewarding consequences serves as one source of motivation. A second results from the perception of a negative discrepancy between present capabilities and desired performance. To foster motlvation it is necessary that persons accurately appraise their capabilities. Techniques for fostering…