This paper presents 'expert opinions' on what should be taught in a first-year linear algebra course at university; the aim is to gain a generic picture and general guiding principles for such a course. Drawing on a Delphi method, 14 university professors--called 'experts' in this study--addressed the following questions: What should be on a…

Mathematics faculty created a model for intermediate algebra integrating principles from the science of learning. The redesigned curriculum revolved around two big ideas (solving and graphing) and provided students with information about the formation of long-term memories, the benefits of distributed practice, the impact of physiological aspects…

The purpose of this quasi-experimental, mixed method design study was to investigate the impact of Differentiated Instruction (DI) on student performance and achievement while implementing rigor in the Algebra II classroom. The call to increase rigor in high school classrooms increases daily, and educators are rethinking teaching and learning; the…

This article details a high school classroom activity in which algebra tiles are used to help students gain a conceptual understanding of completing the square. The activity utilises the eight elements of effective mathematics education suggested in the National Council of Teacher of Mathematics' (NCTM's) "Principles to action: Ensuring…

In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…

Opportunities for teacher candidates to investigate and enact the work of teaching in settings of reduced complexity--what are called "approximations of practice"--offer a promising path toward preparing more ambitious and equitable mathematics teachers. However, these approaches face the risk of not preparing individuals to continue…

If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

This special issue of the Canadian Mathematics Education Study Group/Groupe Canadien d'Étude en Didactique des Mathématiques (CMESG/GCEDM) Proceedings looks at CMESG/GCEDM's collective history, reflects on where the group has been, and who the members have become as an organization. Through a selection of excerpts from past proceedings, the…

In an era of new standards and emerging accountability systems, an understanding of the supports needed to aid teachers and students in making necessary transitions in mathematics teaching and learning is critical. Given the established research base demonstrating the importance of justification and reasoning in students' mathematics learning and…

This article continues a fairly recent trend of research examining the teaching practice of university mathematics lecturers. A lecturer's pedagogical practices in a course in linear algebra were discussed via a supportive community of inquiry. We use Schoenfeld's framework describing the relationship of resources, orientations and goals to…

This Algebra I curriculum guide, produced under the direction of the State of Louisiana Department of Public Education, is a segment of the educational program established in response to accountability, assessment, and competency-based education laws. This guide is designed to represent the best thinking of a selected statewide committee…

This Algebra II curriculum guide, produced under the direction of the State of Louisiana Department of Public Education, is a segment of the educational program established in response to accountability, assessment, and competency-based education laws. This guide is designed to represent the best thinking of a selected statewide committee…

This course, offered in the Option Y sequence of the high school mathematics program described in the Department of Education's Mathematics Program Guide, is designed to be less theoretical and more applications oriented than Algebra IA and IB. There are ten learner objectives for this course, which is designed along with Core Algebra to fulfill…

Developed by experienced migrant education teachers incorporating Sight and Sound Program concepts and Migrant Skills List numbers, this volume presents predrafted individual short-term Plan/Records for secondary level mathematics, algebra, and geometry, plus step-by-step directions for their use by Oregon resource teachers, classroom teachers,…

This curriculum project in general mathematics was planned with two specific objectives--(1) to study the existing curricula, textbooks, and teaching methods in mathematics in higher secondary schools of various states, and (2) to develop a new curriculum in mathematics in light of the objectives of teaching the subject and to try out the…