This article presents a few methods for generating Sudoku puzzles. These methods are developed based on the concepts of matrix, permutation, and modular functions, and therefore can be used to form application examples or student projects when teaching various mathematics courses. Mathematical properties of these methods are studied, connections…

This article addresses an important problem of graphing quantitative data: should one include zero on the scale showing magnitude? Based on a real time series example, the problem is discussed and some recommendations are proposed.

Optimization problems suitable for all levels of chemical engineering students are available. These problems do not require advanced mathematical techniques, since they can be solved using typical software used by students and practitioners. The method used to solve these problems forces students to understand the trends for the different terms…

Representation is viewed as central to mathematical problem solving. Yet, it is becoming obvious that students are having difficulty negotiating the various forms and functions of representations. This article examines the functions that representation has in students' mathematical problem solving and how that compares to its function in the…

Integrated dance has featured in several publications from the mid-1990's onwards, particularly from the standpoints of equity of access, and contesting perceptions of dominant conventional notions of what dance is and who can dance including issues of embodiment and representation. Other publications and manuals focus primarily on how to teach…

Metacognition is the mind's ability to monitor and control itself or, in other words, the ability to know about our knowing (Dunlosky & Bjork, 2008). In mathematics education, the importance of the investigation of students' metacognition during their mathematical activity has been focused on the area of mathematics problem solving. This study…

What "is" mathematics? What does it mean to "do" mathematics? The answers to these two questions critically influence the ways in which learners respond to a mathematical problem. On the other hand, if they see questions as having only one correct answer and as needing to be solved in one particular way, they will be prone to…

Principles and Standards for School Mathematics (NCTM 2000) states, "Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning." The focus on reasoning and sense making with technology in the lesson presented in this article will enable students to do more…

In a "post-NCLB era," the schooling experiences of mostly low-income students of color continue to be consumed by a test-prep pedagogy--narrowed curriculum, low expectations, and ignored relationships. In this article the author describes a pedagogical approach using educational dialogues to engage preservice teachers to critically…

With the advent of No Child Left Behind (2002), the academic expectations of students with disabilities have changed. Students with disabilities are now held to the same academic standards as their peers without disabilities. Furthermore, the 2004 provisions in the Individuals With Disabilities Education Improvement Act state that students with…

Background: Coaching holistically and viewing coaching as interdisciplinary, where different knowledges meet, interconnect and dissect, has increasingly gained recognition. In an effort to engage more effectively with this agenda and to educate coaches to meet the integrated, fluid nature of their work, Jones and Turner advocated a problem-based…

Some of mathematics teaching is routine, like an exercise from a textbook for which you have received instruction and already know what to do. On other occasions, however, teaching mathematics is challenging, involving problems of teaching for which the solutions may not be readily apparent. These situations require the application of mathematical…

A central goal of the learning sciences is to discover principles that determine the optimal amount of instructional assistance to support robust learning (Koedinger & Aleven, 2007). We examined learning outcomes from providing and withholding stepwise instructional explanations as students studied worked examples and solved physics problems. We…

Educational robotics involves using robots as an educational tool to provide a long term, and progressive learning activity, to cater to different age group. The current concern is that, using robots in education should not be an instance of a one-off project for the sole purpose of participating in a competitive event. Instead, it should be a…

This article will describe a project designed for use in a liberal arts mathematics course that satisfies an institutional quantitative reasoning requirement. Students, working in groups of four, are responsible for introducing and explaining new material to the rest of their class. Their "reporting" of mathematical information is…