The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

STEM Pathways aims to increase youths' long-term interest, learning, and achievement in STEM through a deliberate and interconnected system of STEM learning opportunities. In fall 2014 and spring 2015, a survey was administered to fourth- and fifth-grade students at the six STEM Pathways schools in Minneapolis Public Schools (MPS). Most of the…

Structural engineering can be a rich and exciting context for exploring and learning about the properties of materials. Even a structure as commonplace as a house requires careful consideration of important properties such as strength, stability, and insulation. As a former engineer and current elementary science teacher educator, the author has…

As partners in a professional development project, the authors jumped at the opportunity to use a real-life problem to engage elementary and middle school teachers in a one-day exploration of the concept of area. "Length times width"--a common response to the question, "What is area?"--is a rote formulaic expression that applies only to certain…

Today, more than ever before, we must all be able to think creatively, manage change, and solve complex, open-ended problems. Education today is different in its structure and practice than it was in any previous generation, not just because of the impact of technology and the Internet, but also because, across the lifespan, every person studies,…

Scientists, engineers, and medical professionals play a vital role in building the 21st- century science and technology enterprises that will create solutions and jobs critical to solving the large, complex, and interdisciplinary problems faced by society: problems in energy, sustainability, the environment, water, food, disease, and healthcare.…

This paper is presented in two parts. Through an example the first part takes up the issue of applying mathematics to situations that form part of the life context of students--the priority expressed in three curriculum statements presented. Then, noting the particular point in time--development of a National Curriculum for Mathematics--the second…

Against the backdrop of half a century of research in mathematics problem solving, Polya's last stage is especially conspicuous--by the scarcity of research on it! Much of the research focused on the first three stages (J.M. Francisco and C.A. Maher, "Conditions for promoting reasoning in problem solving: Insights from a longitudinal…

This article discusses the resources available for teachers to apply higher-level thinking and cognitive complexity to their instruction and assessments. While designing higher-level assessments might be a challenging task, doing so not only can improve student achievement in science, it also prepares students for a changing world. Students learn…

Prior research suggests that students' understanding of scientific concepts is pre-determined by their reasoning ability. Other efforts suggest that American students' scientific literacy is in decline. One difficulty Bybee (2009) acknowledges is that there are two divergent philosophical models of scientific literacy. The first describes the…

The concept of creativity has been the subject of much research since the 1950s. These theories mainly focus on the individual, personal characteristics of creativity. However, in the past few decades this person-centered spectrum of creativity has been broadened, and today we encounter several theories that emphasize the importance of…

In this paper, students used problem-solving skills to investigate what patterns exist in the Pascal triangle and incorporated technology using Geometer's Sketchpad (GSP) in the process. Students came up with patterns such as natural numbers, triangular numbers, and Fibonacci numbers. Although the patterns inherent in Pascal's triangle may seem…

The author is a product of school-based agricultural education. In a way, this distinguished lecture could also be called a tribute to his high school ag teacher, John Stimpert. Mr. Stimpert was a true professional and an excellent teacher. He changed and he changed the program with the changing school and community. The more the author became…

Learning mathematics is challenging. It requires discipline, logic, precision, perseverance, and accuracy. It can also be fun. When mathematics is set in a context that inspires students to want to solve interesting problems, students will have an intrinsic desire to learn the necessary skills to accomplish a specific goal. The game of Crypto! was…

This article examines the bicycle as not simply a means of transportation or as an exercise device, but rather as a vehicle for teambuilding and problem solving activities within a physical education curriculum. The activities described in this article focus on bike-centered initiatives that foster creative problem solving. They have universal…