This work explores the complex cognitive processes students engage in when addressing contextual tasks requiring linear and exponential models. Grounded within Piagetian constructivism and the Knowledge in Pieces (KiP) epistemological perspective (diSessa, 1993, 2018), this empirical study in a clinical setting develops a Microgenetic Learning…

To address the challenge of low academic results in mathematics the district adopted a new curriculum. After three years of utilizing a problem-based learning mathematics curriculum resource, there is a varied degree of utilization and teacher buy-in with regards to a district implemented problem-based curriculum. During this time, there has been…

When asked about school mathematics, students rarely describe it as meaningful or relevant. Research shows that students are more engaged when they are challenged to think critically, and can connect the content to their lived experiences. This "Equity Tool" is designed to assist educators in reviewing curricula to determine if it…

In 2010 the Irish second level mathematics curriculum underwent a period of significant change when a new mathematics curriculum was introduced. Some preliminary research has been carried out into the impact, if any, that this mathematics curriculum is having on students mathematics performance which have suggested that students' procedural skills…

This study examines the concerns of Irish secondary school teachers to the introduction of three reformed curricula, namely: English, mathematics, and Design and Communication Graphics. Major changes have been introduced in each of these subjects at different time periods over the past 12 years. The Stages of Concern Questionnaire was selected by…

This paper explores teachers' perceptions of their learners' proficiency in statistical literacy, reasoning and thinking. Research in Statistics education has prompted a move away from the teaching of statistical skills, towards focusing on the development of statistical literacy, reasoning and thinking. The recent South African Grade 10-12…

This document is designed to assist schools in planning, coordinating, implementing, and evaluating mathematics programs. Eighteen elements are listed which are viewed to be basic to an effective program. The elements are grouped into evaluation areas that focus on administrative coordination, the mathematics teacher, instruction, the curriculum…

Presented is a guide for assessing the strength and effectiveness of school mathematics programs and for setting directions for change. The guide lists 21 standards under the headings of Instruction, Curriculum and Instructional Materials, the Teacher, and Physical Facilities and Equipment. In a section titled "Implementation," the guide provides…

This brief document, produced by the Alaska Department of Education, presents criteria designed to be used by school administrators, professional staff and community representatives to assess mathematics programs and provide a basis for establishing goals in teaching mathematics. Criteria cover staffing, leadership, professional development,…

This document provides an evaluation of the Comprehensive School Mathematics Program (CSMP) for kindergarten through grade 6. Following an introductory chapter is a chapter on the development and nature of CSMP. Chapter 3 discusses CSMP implementation. Total student achievement scores on the Mathematics Applied to Novel Situations (MANS) tests are…

The standards developed for reform in mathematics education by the National Council of Teachers of Mathematics (NCTM) de-emphasize the algorithmic manipulation of mathematical symbols. The NCTM takes the position that the rapidly changing workplace is an environment that requires problem-solving skills with computers being used to perform routine…

This program was developed and implemented to promote higher-level thinking skills and problem-solving skills and to strengthen the understanding of mathematical concepts in second grade students through the use of the Logo programming language. The objectives for this study were that 70 percent of the target students should demonstrate the basic…

The assessement materials described in this report were used by the Indigenous Mathematics Project to document various achievement and cognitive development factors at five sites in Papua New Guinea. The achievement instruments are criteria-referenced and consist of the Primary Maths Achievement Test, The Test of Arithmetic Skills, and the reading…

The introductory chapter provides an overview on mathematics instruction in Kenyan schools. A survey was conducted largely in the Kigumo division in Murang'a District Central Province to determine problems affecting mathematics instruction in Junior Secondary classes and measures to improve standards. Respondents were 20 head teachers not…

The purpose of this self-appraisal checklist is to assist Ohio teachers and administrators in their endeavors to improve the elementary school mathematics program. The checklist is organized into the following seven categories: (1) philosophy; (2) organization and administration; (3) class management and instruction; (4) staff; (5) curriculum; (6)…