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)

Presents activities providing a cultural journey through history that allow children to understand that many mathematicians have contributed mathematical thoughts and ideas. (KHR)

Presents responses to the Marbles problem, which explores the many ways to arrange a given number of square tiles. (Author/YDS)

Examines activities and children's thinking in four main areas of the Geometry Standard in the National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics": (1) properties of shapes; (2) locations and spatial relationships; (3) transformations and symmetry; and (4) visualization. (Author)

Examines the nature of mathematically rich tasks and varied ways in which students respond to these tasks. Explores approaches for using such tasks to foster inquiry that engages children in mathematical practice. (Contains 16 references.) (ASK)

Describes a method for helping children become powerful thinkers who explore mathematical ideas deeply and creatively as they develop their mathematical promise, and approach mathematics in a manner similar to that of mathematicians in the field. Discusses ways of assessing this kind of learning. (ASK)

This book is designed to help teachers understand children's intuitive problem solving and computational processes and to figure out how to use that knowledge to enhance students' understanding of arithmetic. This book provides numerous examples of classroom dialogues that indicate how algebraic ideas emerge in children's thinking and what…

This book contains activities related to fractions and proportions. The activities span many grade levels as well as many levels of sophistication. Each activity is accompanied by a set of Teachers Notes that include a discussion of the mathematics topics, grade range, materials needed, mathematics of the activity, and implementation notes. All…

Emphasizes the importance of children exploring hands-on and minds-on mathematics. Presents a midpoint shape activity for students to explore the midpoint shape of familiar quadrilaterals, such as squares and rectangles. (KHR)

Investigates and explores questions and activities related to using a calendar. Students explore number sense and operations, logical reasoning, data analysis, probability, and algebra. (Author/NB)

Investigates and explores questions and activities on pets. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Presents an activity that focuses on fractions. Students engage in number sense and operations, logical reasoning, writing, and real-world applications of fraction concepts. (Author/NB)

Presents a mathematician's reflections on his experiences as a young mathematician in elementary school and at home, including some mathematical moments that sparked his interest in dimensions and mathematical thinking. Also describes his experiences working with K-6 teachers and students. (Contains 17 references.) (ASK)