This research examined how three middle school mathematics teachers who were supported by their district to use the Teaching Through Problem Solving approach interpreted and implemented the Standards for Mathematical practices (SMPs) developed by the Common Core State Standards (2010) and the Mathematics Teaching Practices (MTPs) developed by the…

A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

The instructional decisions made by classroom teachers impact the learning acquired by students. The Common Core Mathematics Standards and the history of mathematics education in the United States create a background for how geometry standards are taught in one Midwest middle school. A study of the pacing guides, lesson plans, and naturalistic…

To support elementary school students in finding a solution to an engineering problem, the authors developed a series of five lessons using the 5E Instructional Model (Bybee 2014). The lessons align with the "Next Generation Science Standards" and the "Common Core State Standards" and integrate the teaching and learning of…

In the last several years a good deal of public discourse was devoted to describing the effects that more than two decades of education reforms, the last iteration of which was known as the Every Student Succeeds Act (ESSA), has had on teaching and learning. It is widely argued that coupling teacher evaluations with students' test scores, enforced…

"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).…

With the adoption of the National Common Core State Standards in Mathematics (CCSSM) in many states and the lack of understanding and strategies to implement the new standards by classroom teachers, implementing effective professional development is vital. The focus of this qualitative case study was to provide insight into elementary school…

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…