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…

The conceptual foundation for Direct Behavior Rating as a behavior assessment method is reviewed. A contemporary definition of Direct Behavior Rating is framed as combining strengths of systematic direct observation and behavior rating scales, which may result in a usable and defensible assessment tool for educators engaged in formative purposes.…

Intervention integrity or adherence describes qualities of carrying out an intervention plan and in research is fundamentally linked to experimental validity questions addressed by measurement of independent and dependent variables. Integrity has been well described in conceptual writing but has been a continuing thorny subject in research and…

Many mathematics students have difficulty making the transition from procedurally oriented courses such as calculus to the more conceptually oriented courses in which they subsequently enroll. What are some of the key "stumbling blocks" for students as they attempt to make this transition? How do differences in faculty expectations for students…

It is widely held that, by teaching individuals how to reason through and analyse everyday problems, the teaching of critical thinking develops the deliberative capacities essential to the healthy functioning of democracy. Implicit in this view is the assumption that a certain commensurability exists between the problems presented in such…

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…

Mathematics curriculum designers and policy decision makers are beginning to recognize the importance of problem solving, even at the earliest stages of mathematics learning. The Common Core includes sense making and perseverance in solving problems in its standards for mathematical practice for students at all grade levels. Incorporating problem…

Statistical literacy is essential to scientific literacy, and the quest for such is best initiated in the elementary grades. The "Next Generation Science Standards and the Common Core State Standards for Mathematics" set forth practices (e.g., asking questions, using tools strategically to analyze and interpret data) and content (e.g.,…

Real world mathematical modeling activities can develop needed and valuable 21st century skills. The knowledge and skills to become adept at mathematical modeling need to develop over time and students in the elementary grades should have experiences with mathematical modeling. For this to occur elementary teachers need to have positive…

A university's seminar model suggests the design of a collaborative structure that promotes team sharing and problem solving. The mentoring that occurs in the seminar comes mainly from the student teachers sharing their experiences with each other and working together to make sense of their classrooms in the context of the theories they have…

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…

This article describes how a third grade class (ages 8-9) conducted a temperature-related science experiment. The goal of the experiment was to build on the following question: What would happen if you took three different thermometers, all reading the same temperature, wrapped them in three different socks, one woollen, one silk, and one cotton,…