Infinite series are known to be challenging for Calculus II students, perhaps because they lack intellectual need for the content. In their analysis of Calculus textbooks found few instances of potential intellectual needs for infinite series. This study combines a textbook analysis with interviews of four professors and observations of their…

Seeking to leverage students' interests into mathematical tasks and noticing how their students excitedly discussed the NCAA's Division 1-A football rankings every year, the authors devised a mathematical modeling task in which students could use mathematics to justify their rankings. The task takes students on a journey to consider the complexity…

Collective student efficacy--students' beliefs that by working with other people, they will learn more--can be a powerful accelerator of student learning and a precursor to future employment success. Harnessing twenty-five years of VISIBLE LEARNING® research, "Collective Student Efficacy: Developing Independent and Inter-Dependent…

"Deep in Thought" provides an introduction to intellectual virtues--the personal qualities and character strengths of good thinkers and learners--and outlines a pragmatic approach for teachers to reinforce them in the classroom. With a combination of theoretical expertise and practical experience, philosopher Jason Baehr endorses…

Preparing elementary students to think and communicate like an engineer is possible, but requires a sequence of lessons spanning multiple classroom experiences that are aligned to multiple performance expectations (PEs). This article identifies how multiple PEs can be clustered to meet the instructional goals set forth in the "Next Generation…

As the field evolves over time, shifting from Industrial Arts, to Technology Education, to Engineering and Technology Education (ETE), so too does what teachers teach, how they teach, and the projects that they use. Projects that worked 10 years ago might not hold up today and, as reflective practitioners, they need to be able to align the current…

Educators across subject areas are striving to integrate primary sources into their pedagogy and teaching. Yet, despite their importance to authentic disciplined inquiry, the implementation of primary source activities in the pre-K-12 classroom has been limited. This lack of utilization can largely be attributed to the perception that these…

This article, as a practical guide, introduces pedagogical strategies to PETE faculty on how to teach PETE students to develop quality instructional objectives. Specifically, this article presents three pedagogical strategies: (a) Bloom's taxonomy to differentiate objective categories and their hierarchical levels, (b) Action-Condition-Criterion…

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Do you, your school, or your school district want to align your science curriculum with state standards while meeting the growing demand for Science, Technology, Engineering, and Math (STEM) instruction? If so, this is the book for you. It's a guide to creating coherent, high-quality classroom materials that make standards and STEM work together…

Looking at the effects of globalization from numerous perspectives: economic, spatial, cultural, and environmental, it has become abundantly clear that today's students must possess geographic knowledge and associated skills to be prepared for civic life and informed decision-making. However, the current state of geographic proficiency among U.S.…

Enhance your positive behavioral interventions and supports (PBIS) to do what's best for all students. With this equity-focused guide by Sharroky Hollie and Daniel Russell, Jr., you will discover a clear roadmap for aligning PBIS with cultural and linguistic responsiveness (CLR). Dive deep into why there is an urgent need for this alignment and…

No matter what path students pursue in postsecondary education and in life, they need to be able to problem-solve and think critically. The study of mathematics teaches skills and habits of mind that are an essential part of the formula for students to succeed in further studies and in their careers. Requiring all students, regardless of the…