Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

Presents standards-based activities that include learning about an electronic card catalog by playing card games; learning to count and to recognize numerical sets by identifying real-life sets (e.g., items in the building or on the playground); and learning about estimation and spatial sense using students and a digital camera. (SM)

A classroom activity analyzes the mathematics found in Shipwreck at the Bottom of the World, the true story of Ernest Shackleton and the 27-man crew who all survived a shipwreck at the South Pole. (Contains 3 figures.)

Many common objects can provide numerous opportunities for students to develop mathematical concepts and skills. The lesson described in this article provided an excellent opportunity for middle school students to discover how real-life situations do not always present obvious "right" answers. As students explored a question related to the…

Computation can have a profound intellectual impact, like the alphabet thousands of years ago. Using computation, people can begin to outline cognitive structures that will revolutionize the way they learn, although, especially at universities, the dreams must sometimes lag behind their potential due to limited funding. Ultimately, however, the…

Facilitating mental computation discussion comes with its own set of challenges for researchers and teachers. It is important to be able to help capture the students' ideas, before they disappear and seem like little more than moments of magic! In enabling children to learn how numbers work, the current emphasis on mental computation is driven by…

Teachers often encounter difficulty in teaching estimation of measurement to young children. The intention when teaching the typical "jelly bean jar" classroom activity is to help children develop estimation skills, but most children cannot conceptualise the difference between guessing and estimating. The fact is that many students view…

This article describes the Mathematics Investigation Center (MIC), a tool to help elementary teachers differentiate the curriculum for their gifted mathematics students. Using the same mathematical theme that the rest of the class is studying, the activities provide depth for the gifted students by shifting from a computation level to a problem…

Education researchers, practitioners, and policymakers alike are committed to identifying interventions that teach students more effectively. Increased emphasis on evaluation and accountability has increased desire for sound evaluations of these interventions; and at the same time, school-level data have become increasingly available. This article…

This report identifies 13 instructional strategies for teaching adult numeracy skills that address issues of assessment, development of mathematical skills, and development of problem-solving skills. The rationale and suggestions regarding the following 13 instructional principles are described: address and evaluate attitudes and beliefs about…

This is the teacher's manual to accompany part 1 of the workbook for grade 1 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

This case study presents a descriptive portrait of how one general mathematics teacher transformed her classes from a computational to a conceptual orientation. The outcomes of the transformation for student learning and instruction are discussed. The findings suggest student gains in computational competence, mathematical effort, and attitude via…

The study examined the effectiveness of a program to improve the cognitive skills of 91 hearing impaired college students. Experimental students received systematic cognitive instruction focusing on specific generalizable skills during the experimental period, several times per week, in the contexts of their regular college classes. Instructors of…

This is the teacher's manual to accompany part 1 of the workbook for grade 2 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

This is the teacher's manual to accompany part 2 of the workbook for grade 2 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…