Mathematical problem posing is an important skill for teachers of mathematics, and relates readily to mathematical creativity. This article gives a bit of background information on mathematical problem posing, lists further references to connect problem posing and creativity, and then provides 20 problems based on the multiplication table to be…

Asking significant research questions is a crucial aspect of building a research foundation in computer science (CS) education. In this article, I argue that the questions that we ask are shaped by internalized theoretical presuppositions about how the social and behavioral worlds operate. And although such presuppositions are essential in making…

This article describes how a sixth-grade teacher's "missing word" task uncovered higher-level thinking and engaged her students in the Standards for Mathematical Practice. The role and selection of the task promotes higher-level thinking and connects to the Common Core State Standards for Mathematics. The task required students to apply…

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

The achievement of deep learning by secondary students requires teaching approaches that draw students into task commitment, integrated curricula, and analytical thinking. By using real-world data sets in project based instructional units, teachers can guide students in analyzing, interpreting, and reporting quantitative data. Working with…

Last semester, the author had a particularly vocal class that made it clear that they disliked small group exercises. In an attempt to understand their discomfort, she had this class generate a list of the top 10 reasons they disliked small group exercises. Some of the reasons listed by the students are exactly why the author uses small group work…

Of the eight scientific practices highlighted in "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas," the first is for students to develop abilities to ask questions and define problems (NRC 2012). Constructing a range of questions about an object or phenomenon validates not only what students have…

Too often the discourse of the mathematics classroom is defined as the teacher asking the questions and the students answering them--or trying to. Certainly teachers should not be prohibited from asking questions, but if students are always placed in the position of responding rather than initiating, then one can hardly be surprised if at times…

The revised standards, like the earlier social studies standards published in 1994, continue to be structured around the ten themes of social studies. However, the revised standards offer a sharper focus on: (1) Purposes; (2) Questions for Exploration; (3) Knowledge: what learners need to understand; (4) Processes: what learners will be capable of…

This article addresses the development of a conceptual model of fieldwork practice and the creation of an associated set of skills for the geosciences. The set of eight generic and seventeen specific skills is applied in two international field courses to demonstrate the utility of such a skills-centered model across a broad range of venues,…

Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…

The purpose of this article is to provide suggestions for using public speaking tasks in English language teaching (ELT) and to highlight some of their many advantages. For the purpose of this article, the author will focus on two types of these tasks: student presentations and debates. Student presentations may consist of either individual or…

"It's All About Student Learning Assessing Teacher Candidates' Ability to Impact P-12 Students", provides practical assistance for institutions designing or revising assessment systems or individual assessments for use by units or programs. The publication includes performance assessments currently used by teacher preparation institutions and…