Fractions remain a difficult concept for students at the elementary level. On that ground, prospective teachers need to develop the conceptual knowledge to have a deep understanding of the concept and how the concepts are related to each other. Furthermore, they must be able to explain the concepts through media in the form of concrete objects or…

Students must leave elementary school with a firm understanding of fractions and decimals in order to make satisfactory progress in advanced mathematics. Firm understanding includes manipulation of rational numbers using different models of representation such as area and length. Research has demonstrated that a graduated sequence such as…

This study examined preservice elementary teachers' change in their understanding of fraction operations while taking a mathematics methods course focused on grades 3-5. The preservice teachers (n = 48) completed an assessment before and after the course's unit on the teaching and learning of fractions. Specifically, the preservice teachers were…

An understanding of partitive division is foundational for numerous other mathematics topics, including unit rate, slope, and probability. However, research has shown that learners tend to have a limited understanding of partitive division when the divisor is a proper fraction. To extend research on conceptions of partitive division in this study,…

The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…

In this article, we present some mathematical tasks designed to support pre-service teachers (PSTs) in obtaining a broader, more connected understanding of decimal numbers and quantities. We describe classroom scenarios from a content course in which PSTs experienced these cognitively demanding decimal tasks, enacted in ways that maintain high…

One in a series of core instructional materials for apprentices to use during the first or second years of apprenticeship-related subjects training, this booklet deals with basic mathematics. The first section consists of an outline of the content and scope of the core materials as well as a self-assessment pretest. Covered in the three…

In this practicum students' (n=27) learning styles were used to develop teaching lessons and strategies that would improve mathematics learning in a second grade classroom. Each child's learning style was determined through the Swassing-Barbe Modality Index (SBMI). Pretests for mathematics concepts were given. Each concept was then taught…

This teacher's guide is intended for use in helping Kodak Corporation employees develop the basic mathematics skills required to perform the manufacturing and quality control tasks expected of them. The following topics are covered in the first five modules: the four basic functions (adding, subtracting, multiplying, and dividing), calculations…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

Employee and facilitator manuals are provided for two courses developed for a workplace literacy program: Mathematics on the Job I and II. Each 10-session course begins with a preassessment and ends with a postassessment. Components of each 2-hour session are objectives, informational materials, and problems or exercises. The facilitator copies…

This curriculum package on math for textile technicians has been developed by the Workforce 2000 Partnership, a network of industries and educational institutions provides training in communication, computation, and creative thinking to employees and supervisors in textile, apparel, and carpet industries at 15 plants in Alabama, Georgia, and South…

The Second International Mathematics Study (SIMS) of the International Association for the Evaluation of Educational Achievement (IEA) was conducted in 20 countries on two sampled populations: Population A of 13-year-olds and Population B of students studying mathematics in their final year of secondary school. Mathematics achievement was measured…