Optimization is a vital mathematical concept widely applied in various engineering fields. However, teaching this subject to engineering students often involves abstract materials, making it challenging for them to grasp. To address this issue, a group of five mathematics lecturers collaborated on designing a practical lesson on optimization for…

The decisions that teachers make in transforming the curriculum into specific lesson plans determine the real enactment or otherwise of curricular ideals. These decisions are shaped by the resources available and by each teacher's goals and orientations. This exploratory study employs Schoenfeld's decision-making model to examine how resources,…

Case-based instruction (CBI) provides a way to vicariously engage preservice teachers in their future teaching realities. However, little research has considered how different discussion facilitation strategies relate to the development of preservice teachers' instructional design (ID) skills. We used an embedded mixed methods case study research…

Professionals throughout the education system are recognizing that standardized testing is holding students back. Schools tend to view children as "outcomes" rather than as "individuals" who require guidance on thinking critically and creatively. "Awesome Math" focuses on team-based problem solving to teach discrete…

In this paper we examine how facilitators' prior experiences as mathematics teachers frame their work when facilitating a practice-based professional development (PD) for the first time. We focus on the experiences of a novice facilitator of StoryCircles, a professional learning process in which teachers collectively script and visualize a…

Most teachers try to avoid having students experience uncertainty in their schoolwork. But if we want to prepare students to tackle complex problems (and the uncertainty that accompanies such problems), we must give them learning experiences that involve feeling unsure and sometimes even confused. Beghetto presents five strategies that help…

If you've ever asked yourself whether problem-based learning (PBL) can bring new life to both your teaching and your students' learning, here's your answer: Yes. This all-in-one guide will help you engage your students in scenarios that represent real-world science in all its messy, thought-provoking glory. The scenarios will prompt K-12 students…

"Problem-Based Learning in the Physical Science Classroom, K-12" will help your students truly understand concepts such as motion, energy, and magnetism in true-to-life contexts. The book offers a comprehensive description of why, how, and when to implement problem-based learning (PBL) in your curriculum. Its 14 developmentally…

The Physics Independent Learning (PIL) model is an authentic problem-based model designed teaching guide for improving self-directed learning and problem-solving skills in open and distance education. This research is aimed to analyze the validity and effectiveness of PIL model. This research was conducted using focus group discussions of experts…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

"Problem-Based Learning in the Life Science Classroom, K-12" offers a great new way to ignite your creativity. Authors Tom McConnell, Joyce Parker, and Janet Eberhardt show you how to engage students with scenarios that represent real-world science in all its messy, thought-provoking glory. The scenarios prompt K-12 learners to immerse…

The role of an inquiry-based practicum in the education of future teachers has been identified as a key component to foster student-teachers' abilities to face problems, try to solve them, work on doubts and produce situated and valuable learning from their own practices (Cochran-Smith & Little, 2001; Beck, 2001). The interaction between…

Part One of this article ("Technology and Engineering Teacher," 75(4), December/January, 2016) presented a process that science, math, engineering, and technology teachers could use to collaborate and design integrated STEM courses. A conceptual framework was discussed that could provide a premise that educators interested in delivery of…

In this first of a two-part series, the authors report that STEM is still mostly science and mathematics, taught separately with little or no attention to technology and engineering. Where connections do get made to technology and engineering, too often they happen through several disconnected projects that lack coherence in content standards and…

This paper reports the findings of research into an educational intervention featuring open-ended mathematical problems situated in "real life" contexts and associated pedagogies. "Money and financial mathematics" is the topic in focus, with tasks termed "financial dilemmas" being trialled by 35 teachers in 16…