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 chapter is a case study examining the symbiotic relationship among an Arts and Sciences mathematics department, a school of education, and a large urban public school district, as a context for the development of pedagogical content knowledge in the curriculum. Specifically, Hunter College, CUNY, has a long-standing master's program in…

In February 2020, the Ministry of Education asked the New Zealand Council for Educational Research (NZCER) to examine the curriculum-levelling construct that sits at the heart of The New Zealand Curriculum (Ministry of Education, 2007). A key goal of the research was to investigate, whether-- and if so, how--the construct helps (or hinders)…

This article interrogates the extent to which the Organization for Economic Cooperation and Development (OECD) through its Programme for International Student Assessment (PISA) influenced the development of Project Maths, a new second-level mathematics education policy in Ireland. It argues that the Irish government, in its revision of mathematics…

There are many details to consider when designing a capstone experience. Expectations of students, faculty workload, resources, logistics, and timing all play a part in the value of this endeavor. We discuss the experience of creating a research capstone experience from scratch including the components of our current course as well as lessons…

A problem-solving capstone course for mathematics and mathematics education majors can help majors synthesize material learned in the major, create a basis for lifelong learning in the discipline, develop confidence, and promote interest in graduate study. Such a course may also play a role in departmental assessment of the major. This article…

The intent of this project was to develop a course for mathematics graduate students at Iowa State University. They would design and write computer programs for use by undergraduate mathematics students, and then offer the course and actually produce the software. Phase plane graphics for ordinary differential equations was selected as the topic.…

The statement on the mathematics needed by students planning to take collegiate mathematics and the list of recommendations to strengthen the preparation of students for collegiate level courses prepared by a joint committee of the Mathematical Association of America and the National Council of Teachers of Mathematics in March, 1976, are…

Presents five recommendations of the Linear Algebra Curriculum Study Group: (1) The syllabus must respond to the client disciplines; (2) The first course should be matrix oriented; (3) Faculty should consider the needs and interests of students; (4) Faculty should use technology; and (5) At least one follow-up course should be required. Provides a…

This manual outlines a calculus course, one of three optional courses designed to meet the needs of students in Manitoba (Canada) secondary schools who demonstrate particular aptitude in mathematics and who desire to study more topics and more advanced topics. Major emphasis is placed on applications and problem solving. The four units in the…

Recommendations that the curriculum needs to be restructured to better meet the mathematical needs of a diverse student population in a society increasingly dominated by technology are addressed in this yearbook. It attempts to chart new curricular directions for high school mathematics in terms of content, organization, and priorities, and also…

This publication is the teachers' manual, level 9, of the Instructional Support Systems (ISS) Program, which was developed by the Community School District 18 of New York. The curriculum was designed to fulfill the requirements established by the New York State Board of Regents for the Algebra I course. Two sequences of modules are suggested, for…

Illustrates how one mathematics department has added courses to widen pupils' views of mathematics and to improve their problem-solving ability. (PK)