Recommended by the Ontario Ministry of Education Fostering Children’s Mathematical Development focuses on short video clips from classroom situations, providing opportunities to observe, analyze, and discuss critical moments in children’s development, and then to build a landscape of the ideas, strategies, and models of operations with fractions, decimals, and percents.

YMAW Fostering Children's Mathematical Development, Grades 5-8 (Resource Package): The Landscape of Learning (Young Mathematicians at Work)

Education & Teaching

Fosnot, Catherine Twomey

Cameron, Antonia

Schools & Teaching

Heinemann

Games for Early Number Sense is one of three yearlong resource guides in Contexts for Learning Mathematics' Investigating Number Sense, Addition, and Subtraction (K - 3) Games for Early Number Sense contains 24 games that you can choose from as you consider the needs of your students. The unit includes notes for each game describing the mathematical landscape - the possibilities and openings for learning that can occur as children play. Sample dialogues are interspersed throughout to help you anticipate what learners might say and do and to provide you with images of teachers and children at work. The games foster the development of early number sense and addition, including the basic facts, and are appropriate for K - 1. To learn more visit http://www.contextsforlearning.com

Games for Early Number Sense: A Yearlong Resource (Context for Learning Math)

FirstHand

Muffle's Truffles: Multiplication and Division with the Array is one of five units in the Contexts for Learning Mathematics' Investigating Multiplication and Division (3 - 5) The focus of this unit is the development of the open array as a model for multiplication and division. This unit uses a series of investigations based on the context of Muffles' Truffles shop. The questions posed in the first investigation (how many boxes of ten can be made with a given quantity of truffles; how many leftovers will there be from a given quantity and how can they be combined to make assortment boxes; and what is the cost of a given quantity of truffles if they cost $1 each) give students an opportunity to explore place value - the multiplicative structure of our base-ten system and quotative division. In the second and third investigations, students build two-dimensional blueprints of one-layer boxes and use these arrays to explore some of the big ideas in multiplication (the distributive, associative, and commutative properties). In the fourth and final investigation, students work with open arrays in the context of labeling and pricing wrapped boxes of truffles. To figure out the dimensions of the wrapped boxes (or open arrays) and the cost, students need to apply a number of big ideas previously developed in this unit. There are three different kinds of minilessons for multiplication included in the unit as well: counting around the circle, strings of related problems, and quick images. The count-around is used to support the development of place value as it relates to multiplication. The strings of related problems are explicitly designed to guide learners toward computational fluency with whole number multiplication and to build automaticity with multiplication facts by focusing on relationships. The quick images use 2 x 5 and 1 x 5 arrays as units to build larger arrays. In the last days of the unit, more complex minilessons (double-digit multiplication problems) generate a wider range of student strategies that can be explored (and modeled) with the open array. To learn more visit http://www.contextsforlearning.com

Muffles' Truffles: Multiplication and Division with the Array (Context for Learning Math)

Science & Math

Mathematics

"If education is to be the learning profession, then we must walk the walk of learners. The bottom line is not perfection, constant success, and high test scores. The bottom line is creating a culture in which learning, innovation, and collaboration are the norms-a learning culture. When adults in schools create such environments, children will thrive." -Lucy West and Antonia Cameron How can teacher leaders cultivate an adult learning environment that will upgrade teaching capacity system-wide, and ultimately improve student learning in every classroom? Lucy West and Toni Cameron turn decades of experience designing and implementing coaching initiatives into a practical resource for transforming school culture and inspiring true learning at every level. Agents of Change provides coaches, administrators, and teacher leaders with specific techniques, tools, and strategies for working with individual classroom teachers to plan and co-teach lessons, reflect on them afterwards, and find evidence of student learning. Lucy and Toni argue that when we infuse rich learning conversations into the professional discourse via coaching, study lessons, and regular meeting times for professionals to work collaboratively, we're able to examine what it takes on a day to day basis to reach every student in our classrooms. The transformative potential of content coaching to improve both teacher and student learning on a school-wide level has never been more clear. Purchase includes free access to an online video case study. Read a sample chapter!

Agents of Change: How Content Coaching Transforms Teaching and Learning

West, Lucy

One of the central challenges facing early childhood teachers is how to meet academic standards while creating learning environments that honor young children's mathematical ideas, curiosity, and playfulness. In Early Childhood Math Routines, Toni Cameron introduces us to a set of short whole-group and partner routines designed to engage young children in meaningful math thinking and build problem-solving communities. Toni reimagines traditional math routines and introduces brand new routines that focus on the important mathematical ideas of early childhood. Through stories, classroom examples, and resources, Toni offers you the tools to get started right away with these routines. Inside you'll find the following resources:&nbsp; <ul> <li>Innovative routines featuring student-teacher dialogue and teaching analysis to support you in planning and facilitating&nbsp;</li> <li>Clear explanations of the big mathematical ideas in early childhood math</li> <li>Access to a robust companion website, which includes downloadable and printable cards and gameboards; over 30 slide decks for facilitating routines, additional practice routines, supplemental readings, and a place value interview assessment</li> <li>A day-by-day suggested planning guide to introducing and developing each routine in your classroom</li> </ul> Learn from Toni's experience in classrooms supporting the complexities of early childhood mathematics while also building communities that foster social, emotional, and cognitive development in young children. Get the tools and routines that will help you connect children to mathematics in a way that is exciting and powerful.

Early Childhood Math Routines

Gallahue, Patricia

Iacoviello, Danielle

Routledge