For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

Differentiated instruction (DI) is a philosophical and pedagogical approach addressing student diversity in the classroom, supporting student engagement in learning. There is, however, limited research into the application of DI in senior-secondary mathematics. This research reports on two mathematics teachers in two Australian states, using…

This article examines curricular development within compulsory science and mathematics education (grades k-9) in Denmark during a 20-year transition towards competency-oriented curricula. The article contains two main parts. In the first part, we describe the Danish case, emphasizing how international and national trends at the turn of the…

In this convergent mixed methods design study, single-subject and qualitative data were collected concurrently to provide an in-depth picture of the impact of a modified schema-based instructional intervention. The intervention was delivered using instructional trials embedded across general education math lessons and a modified…

Internationally, schools with small numbers of children and constrained funding are not able to group the children in classes based on their age. Rather, the children are combined into larger 'mixed-age' classes. Schools and teachers manage this situation in different ways, for example by teaching the class as two or more separate age-based groups…

Background/Context: Mathematics education, especially at early grade levels, continues to be an important focus for national education improvement efforts, and more districts are introducing technology as part of their solution. Along with increasing consistent delivery of personalized and individualized learning to students, technology- and…

This article examines the effectiveness of a technology-based algebra curriculum in a wide variety of middle schools and high schools in seven states. Participating schools were matched into similar pairs and randomly assigned to either continue with the current algebra curriculum for 2 years or to adopt Cognitive Tutor Algebra I (CTAI), which…

A learning center in the southeastern part of the United States used the Singapore mathematics curriculum (SMC) to support student learning of a wide range of mathematics skills. However, a study had yet to be conducted to gain an understanding about the administration and implementation of the program. This case study was conceptually based on…

The study reviewed in this paper examined the effects of "mastery learning" and "student team learning" on the math achievement of high school students. The analysis included 588 ninth-grade students in 16 urban Philadelphia high schools. The study assessed the effectiveness of the different conditions after one year by…

The purpose of this multiple case study was to explain how mathematically proficient homeschool graduates acquired their proficiency. Bronfenbrenner's (1979, 1999) ecological and Process-Person-Context-Time (PPCT) models were used as theoretical frameworks to analyze the development of the graduates in the homeschool environment. The National…

The majority of college students are not ready for college-level math courses, which, when completed, have been shown to increase graduation and transfer rates. To address this problem, the Math My Way (MMW) program was developed to integrate module-based curriculum and mastery learning approaches. The program is based on Seidman's retention…

The I CAN Learn[R] Education System is an interactive, self-paced, mastery-based software system that includes the I CAN Learn[R] Fundamentals of Math (5th-6th grade math) curriculum, the I CAN Learn[R] Pre-Algebra curriculum, and the I CAN Learn[R] Algebra curriculum. College algebra credit is also available to students in participating schools…

The principal of a grade 3-5 intermediate school explains how he gained teacher acceptance of a new mathematics curriculum and instructional methods meeting National Council of Teachers of Mathematics standards. To raise students' mastery scores, the principal worked with teachers from each grade to reexamine present practices, develop and test…

Instruction in flexible groups at the Center School accommodates variability in student achievement and aptitude, increases time targeted to specific needs, addresses fairly large groups, reduces the problems of individualized instructional systems, and offers curricular units sequenced according to a hierarchy of skills and concepts, with…