The simple process of iteration can produce complex and beautiful figures. In this article, Robin O'Dell presents a set of tasks requiring students to use the geometric interpretation of complex number multiplication to construct linear iteration rules. When the outputs are plotted in the complex plane, the graphs trace pleasing designs…

Chocolate chip cookies are used to illustrate the importance and effectiveness of control charts in Statistical Process Control. By counting the number of chocolate chips, creating the spreadsheet, calculating the control limits and graphing the control charts, the student becomes actively engaged in the learning process. In addition, examining…

This paper presents a higher education experience aimed at explicitly promoting metacognitive processes in a social and collaborative context. Students carried out a debate on an e-forum, and were later asked to collaboratively analyse their own debates. The control group conducted this analysis using text-based tools; the experimental group…

The importance of language in mathematics learning has been widely acknowledged. However, little is known about how to make this insight productive in the design and enactment of language-oriented mathematics education. In a design-based research project, we explored how language-oriented mathematics education can be designed and enacted. We drew…

Mathematical word problems are the most common form of mathematics problem solving implemented in K-12 schools. Identifying key words is a frequent strategy taught in classrooms in which students struggle with problem solving and show low success rates in mathematics. Researchers show that using the concrete-representational-abstract (CRA)…

Faced with increasing demands for accountability, teachers are having to base their instructional decisions and choice of interventions on data on student performance. This book shows how to make this otherwise daunting task much more manageable by means of case studies and countless evidence-based forms and graphs. Although this book often refers…

The aim of the present study was to investigate the effects of a computer cognitive training program on depression levels in older mildly cognitive impaired individuals. Peterson et al. (1999), defines mild cognitive impairment (MCI) as a transitional stage in which an individual's memory deteriorates and his likelihood of developing Alzheimer's…

This phenomenographic case study attempted to determine the alternative and misconceptions of learners in selected concepts in Physics. The research adds another dimension to understanding alternative conception in kinematics by qualitatively determining how learners describe/define a distance of 0m, a displacement of 0m, a speed of 0m/s, a…

WYTHOFF is played on a pair of nonnegative integers, (M, N). A move either subtracts a positive integer from precisely one of M or N such that the result remains nonnegative, or subtracts the same positive integer from both M and N such that the results remain nonnegative. The first player unable to move loses. RATWYT uses rational numbers…

Spatial skills have been shown in various longitudinal studies to be related to multiple science, technology, engineering, and math (STEM) achievement and retention. The specific nature of this relation has been probed in only a few domains, and has rarely been investigated for calculus, a critical topic in preparing students for and in STEM…

The purpose of this qualitative practitioner research study was to describe middle school algebra students' experiences of learning linear functions through kinesthetic movement. Participants were comprised of 8th grade algebra students. Practitioner research was used because I wanted to improve my teaching so students will have more success in…

Children of the Earth High School in Winnipeg, Manitoba, is a school dedicated to incorporating Aboriginal perspectives into all areas of the Manitoba curriculum and is attended by an almost exclusive Aboriginal population. Many of these students come from a First Nations community and are related to others who come from such communities, the…

Economics faculty expect that students have an integrated understanding of economic theory upon graduation and that they grasp and appreciate how all elements of markets naturally move to equilibrium. Through assessment activities, the authors discovered that their students were not developing that knowledge, so they turned to learning theory to…

As teachers working with students in entry-level algebra classes, authors Amy Nebesniak and A. Aaron Burgoa realized that their instruction was a major factor in how their students viewed mathematics. They often presented students with abstract formulas that seemed to appear out of thin air. One instance occurred while they were teaching students…

Gesturally controlled information and communication technologies, such as tablet devices, are becoming increasingly popular tools for teaching and learning. Based on the theoretical frameworks of cognitive load and embodied cognition, this study investigated the impact of explicit instructions to trace out elements of tablet-based worked examples…