Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. "Figuring Out Fluency in Mathematics Teaching and Learning" offers educators the inspiration to develop a deeper understanding of procedural fluency, along with…

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The…

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The…

In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual activity sheets. Using both personal experience and those of teachers in real K-grade 12 online classrooms, distance learning…

"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).…

NCTM's Process Standards support teaching that helps upper elementary level children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every intermediate-grades teacher the opportunity to explore each standard in depth. With language and examples that don't require prior math…

The National Council of Teachers of Mathematics (NCTM)'s Process Standards support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every primary teacher the opportunity to explore each standard in depth. With language and examples that don't require…

Encourages students to use one another's ideas as a basis for thinking and learning about mathematics. Develops rich classroom discourse building upon a classroom community. (YDS)

Shows how sequenced learning activities can help students build conceptual bridges from arithmetic to algebra. Focuses on understanding equivalent algebraic expressions, an area in which U.S. students scored poorly on the Third International Mathematics and Science Study (TIMSS). (YDS)

Presents an activity in which students explore properties of quadrilaterals using geoboards. (YDS)

Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)

Invites students to try magic-number tricks and discover how and why they work. (Author)

Discusses various tools to further understanding of measurement. (Author)

Argues that the way in which students solve a particular problem can be analyzed to gain insight into how students think about the mathematics involved. Discusses the use of knowledge gained from listening to student conversations about their strategies to orchestrate classroom discussions. (ASK)

Presents a common knowledge puzzle in which it becomes possible to reason about other people's responses to the puzzle. (ASK)