Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

This paper describes the development and implementation of course modules intended to encourage creative thinking in an undergraduate general education mathematics course. The modules were designed to address the characteristics of creativity outlined in the literature through explorations of mathematics relevant to non-mathematics majors. A…

Practice: An Inquiry-Based Mathematics Activities Module (IBMAM) was developed in accordance with the developmental characteristics, interests, needs, and expectations of preschoolers. The aim of the study was to determine the effect of the IBMAM on preschoolers' numbers and operations skills. A quasi-experimental method, which was a…

Educational modules can play an important part in revitalizing the teaching and learning of complex analysis. At the Westmont College workshop on the subject in June 2014, time was spent generating ideas and creating structures for module proposals. Sharing some of those ideas and giving a few example modules is the main purpose of this paper. The…

Explaining is one of the fundamental teaching practices. Yet, much is still unknown about the ways in which pre-service secondary teachers (PSTs) learn to create instructional explanations. Even less is known about how technology can support PSTs in this process. This paper describes an instructional module which used video to enhance PSTs'…

This paper focuses on student learning in the context of a curricular module on pawnshops piloted with 15 students in an urban high school. The paper describes pedagogical frameworks guiding the development of the module and summarizes key features of its curriculum. Analysis focuses on student growth with respect to mathematical understanding of…

Although the use of traditional just-in-time teaching techniques has long been viewed positively by students and instructors in undergraduate calculus courses, past studies in this area have not addressed gains in student achievement with respect to specific calculus topics. This paper investigates the latter by administering modified just-in-time…

Oulipo (Ouvroir de Littérature potentielle, or Workshop on potential literature), an over 50-year old movement that began in France, seeks to apply mathematical constraints to literature and the arts. In this article, I will give a brief survey of this movement and how I have built a learning module based on it for my mathematics for the liberal…

Researchers design scripted supplemental mathematics programs for struggling students, such as students with learning disabilities (LD), to encourage an evidence-based presentation of concepts and use of instructional language in teachers' implementation. In practice, teachers may or may not implement these programs with high fidelity, resulting…

The introduction of the "Early Years Learning Framework and the Australian Curriculum-Mathematics" in Australian preschools and primary schools has caused early childhood educators to reconsider what may be appropriate levels of mathematics knowledge to expect from children as they start school. This paper reports on initial data from an…

In response to continuing concerns about student attainment and participation in science and mathematics, the "epiSTEMe" project took a novel approach to pedagogy in these two disciplines. Using principles identified as effective in the research literature (and combining these in a fashion not previously attempted), the project developed…

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In the The Xs and Whys of Algebra: Key…

This study developed twelve instructional modules based on the National Assessment of Educational Progress for mathematics content and methods courses for preservice elementary and middle school teachers and examined their impact on PSTs' mathematical content knowledge and self-efficacy beliefs about teaching mathematics. The modules help…

The purpose of this study was to measure the difference in achievement between those students enrolled in a beginning-level, university Algebra course in southeastern Idaho university the spring semester of 2012 who received an Algebra Exponents and Polynomials instructional unit in a traditional face-to-face setting and those students who…

The purposes of this study were to (1) investigate non-accelerated middle schools students' understanding of pre-algebraic concepts, in particular, addition and subtraction of integers and the notion of equality; (2) describe and analyze how non-accelerated middle school students interact with The Geometer's Sketchpad (GSP) applets depicting…