We report the combined use of Wikispaces (wikis) and collaborative group problem solving (CGPS) sessions conducted in introductory-level calculus-based physics classes. As a part of this new teaching tool, some essay-type problems were posted on the wiki page on a weekly basis and students were encouraged to participate in problem solving without…

This article discusses how teaching via problem solving helps enact the Mathematics Teaching Practices and supports students' learning and development of the Standards for Mathematical Practice. This approach involves selecting and implementing mathematical tasks that serve as vehicles for meeting the learning goals for the lesson. For the lesson…

How better to begin the study of linear equations in an algebra class than to determine what students already know about the subject? A seventh-grade algebra class in a suburban school undertook a project early in the school year that was completed before they began studying linear relations and functions. The project, which might have been…

Life tables are mathematical tables that document probabilities of dying and life expectancies at different ages in a society. Thus, the life table contains some essential features of the health of a population. Probability is often regarded as a difficult branch of mathematics. Life tables provide an interesting approach to introducing concepts…

Mathematical disabilities (MD) have a negative life-long impact on professional success, employment, and health outcomes. Yet little is known about the intrinsic functional brain organization that contributes to poor math skills in affected children. It is now increasingly recognized that math cognition requires coordinated interaction within a…

This practice-sharing piece outlines two main approaches to flexible summative assessment schemes, including for each approach one example from my practice and another from a published study. The bento approach offers the same assessments to all students but a variety of grade weighting schemes, allowing students to change weighting during the…

Currently (and historically) there exists a significant gender gap within the STEM fields in our schools, tertiary institutions, and workforce. The disproportion of gender representation in the workforce filters down to the classroom level, where teachers see a lack of confidence and engagement in their female students resulting in poor results or…

The spotter test is an assessment that has been used widely to test practical knowledge of anatomy. Traditional spotter formats often focus solely on knowledge recall, in addition to being an onerous marking burden on staff where consistency in marking free text responses can be questioned. First-year optometry students at the University of…

Sustaining engagement with a mathematics task is not a novel suggestion for effective mathematics teaching. "Principles and Standards for School Mathematics" (2000) specified that "students need to know that a challenging problem will take some time and that perseverance is an important aspect of the problem-solving process and of…

Software programs such as Tinkerplots ® or Geometer's Sketchpad ® can help students solve problems in mathematics classes, but may not be available to them after high school. In contrast, many students who become familiar with Internet tools and programs in office packages (word processing, spreadsheets, etc.) may use them daily to enhance their…

An essential component skill of monitoring and reflection during problem solving is work checking, a process used by experts while solving problems to determine if their solution is achieving the goal. The results of work checking may reveal errors or inconsistencies, indicating a need for iteration. Using think-aloud interviews, the authors…

Purpose: This study aims to present improvisation training and experimentation as an alternative method to deal with unexpected events in which structured processes do not seem to work. Design/Methodology/Approach: Based on the literature of sensemaking and improvisation, the study designs a framework and process model of experimental learning…

This study investigated the personality facets that underpin the construct of problem-solving style, particularly when approaching more creative kinds of problem-solving. Cattell's Sixteen Personality Factors Questionnaire and VIEW--An Assessment of Problem Solving Style were administered to 165 students from the Norwegian Business School. We…

Jennifer Miller is a special education preschool teacher at Grant Elementary School in Muscatine, Iowa. In this article, she describes how she created and implemented a learning center with three-to-five-year-old students in an integrated morning class (nine students; four on IEPs) and an integrated afternoon class (10 students; four on IEPs) to…

Proving a child has been adequately educated is manifest through assessments evaluating the recall of facts or the deciphering of codes. How this information is taught and learned is the issue. Webb's depth of knowledge (DOK) and Bloom's taxonomy are cognitive models that drive instruction in today's classrooms. According to these models,…