Simple arithmetic word problems are often featured in elementary school education. One type of problem, "compare with unknown reference set," ranks among the most difficult to solve. Differences in item difficulty for compare problems with unknown reference set are observed depending on the direction of the relational statement (more than vs. less…

Fourth-grade students who participated in a yearlong, whole-class teaching experiment not only reconceptualized natural numbers but also generated flexible solution strategies to perform numerical computations mentally and in writing. Students' reconceptualization of number was mediated by their perceived resemblance between the physical action of…

In early algebra students often struggle with equation solving. Modeled on Streefland's studies of students' own productions a prototype pre-algebra learning strand was designed which takes students' informal (arithmetical) strategies as a starting point for solving equations. In order to make available the skills and tools needed for manipulating…

This study examined the effects of extra time on the reading comprehension performance of a heterogeneous group of adults with reading disabilities. Sixty-four adults participated. A clinic that assesses learning disabilities identified 22 as reading disabled, and 42 as normal readers. The 64 adults took a reading comprehension test under both…

This paper articulates a perspective on learning to discuss ways in which students develop personal sense and negotiate meaning in a middle school algebra context. Building on a sociocultural perspective that incorporates mental objects, learning is described as a mutually dependent process involving personal sense making and the public…

Calculators can be used in primary schools in a number of situations. They are most beneficial when working with large numbers, dealing with real data that leads to complex calculations, performing repetitive calculations, developing concepts, estimating and checking, problem solving, and looking for patterns and/or relationships. But what if the…

This article discusses an approach designed for mathematics educators. Maria Montessori intended this knowledge to be shared with other teachers, increasing the Montessori community's understanding of children's thinking. A group of Montessorians has even tried to formalize this process with a program called Teachers' Research Network. Similarly,…

This research focuses on eliciting bilingual students' problem-solving reasoning by providing mathematical tasks designed to involve the students in the action described in the problem by making connections to contexts familiar to them. Results showed these tasks allowed children to articulate their mathematical reasoning through gestures and…

Objective: To test if visual focusing and mimic display as features of self-regulation in ADHD children show a curvilinear relation to rising methylphenidate (MPH) doses. To test if small dose steps of 2.5mg MPH cause significant changes in behavior. And to test the relation of these features to intellectual performance, parents' ratings, and…

This publication offers excerpts from the National Courses of Study revised by the Ministry of Education in Japan. The first section discusses curriculum for kindergarten. It states that lessons must be presented at least 39 weeks a year and the standard number of class periods per day should occupy four hours. Content is classified into four…

This instructional guide and set of three companion workbooks are intended for use in an arithmetic course based on the Tic Tac Toe method of addition and multiplication, which is an alternative means of learning to add and multiply that was developed for students whose learning disabilities (including difficulty in distinguishing left from right…

The development of the place value system and its universal use demonstrate the elegance and efficiency of mathematics. This paper examines the concept of place value by: (1) presenting the historical development of the concept of place value in the Hindu-Arabic system; (2) considering the evolution of the number zero and its role in place value;…

This instructor's guide contains materials for a 20-30 hour course designed to address essential math skills in the workplace. The course description lists target audience, general objective, and typical results observed. The next section gives instructors basic information related to providing successful educational programs in a workplace…

This book describes how parents can develop a mathematical environment for children in the home. Four major areas are emphasized: whole numbers, fractions, decimals, and basic geometry. Section 1 "'Shoebox' Activities," provides activities to teach specific concepts within a manageable time period. Materials are listed and diagrams…

The report lists competencies for teachers in every day interactions with learning disabled students. Developed by a task force, the competencies are intended to serve as general guidelines. Information is presented on the goal, assessment competencies, and instructional competencies for the following areas: classroom management, spoken language,…