Math Methods PreK-12 Research Guide

While mainly focused on STEM, there are applications beyond teaching STEM specifically. Includes at least one chapter on using "design and making" in teacher education programs as ways to build quantitative skills.

Encourages readers to push their understanding beyond its current limits by challenging them to refine and explain their thinking without falling back on memorized rules and procedures. Helps prepare pre-service and in-service teachers to facilitate children's understandings of complex ideas.

"Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships....The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities."

"Numeracy is not just possessing some mechanical facility with numbers: it also embraces the notion of being able to communicate effectively with others through the basic language of mathematics, to interpret everyday quantitative information, and to have a repertoire of strategies and number sense to deal with problems that may arise (Willis, 1998)."

Shares information from a computational thinking workshop held in Washington, DC, in 2010. The workshop brought together educators who have worked with both K-12 teachers and students to bring computational thinking and reasoning skills into classrooms.

An open access book that presents numerous aspects of computational thinking including approaching computational thinking practices as ways to map models from abstract data and process structures to natural phenomena. It also looks at its integration in K-12 and other educational and industrial environments worldwide.

The chapters of this book "present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation."

"This book features real case studies with quantitative reasoning skills enmeshed in the story line to help teach biology and show its relevance to the lives of future citizens."

"This book is for K-2 learners. The easy-to-use lessons focus on science and engineering practices such as asking questions and defining problems, planning and carrying out investigations, and analyzing and interpreting data. Each practice comes to life through engaging, trade book-based lessons that highlight scientists' work while introducing skill-building inquiry-based investigations."

This title "is the first book to focus on how young children (ages 7 and under) can engage in computational thinking and be taught to become computer programmers, a process that can increase both their cognitive and social-emotional skills."

The Official ScratchJr Book "is the perfect companion to the free ScratchJr programming app and makes coding easy and fun for all. Kids learn to program by connecting blocks of code to make characters move, jump, dance, and sing. Each chapter includes several activities that build on one another, culminating in a fun final project. These hands-on activities help kids develop computational-thinking, problem-solving, and design skills."

"Meet Zero, a bubbly fellow who will dissolve you to nothing, and say hello to the all-action Units, who just love to measure. Get a load of greedy Multiply, a big guy who hoards numbers together, and stand amazed by mysterious Pi, who goes on and on and on . . . to Infinity!....Packed with top tips and memorable characters, this is an essential book" for young students.

"Who can add an entire herd of triceratops, multiply the legs of a group of ankylosaurs, and estimate the distance to the next tasty meal? TYRANNOSAURUS MATH! He's a number-crunching dinosaur who chews on math problems as easily as he thunders through the trees. When his little sister is in terrible danger, T-Math even saves the day by using his measurable math skills. Is there anything he can't figure?"

"Mei explores measurement as she plants a sunflower seed and watches it grow. The plant starts off as tall as her toe, but soon it's up to her knees, then her waist, then her shoulders. How tall will it get? Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them."

"Take a trip to the farmers' market in this playful story about spatial sense. Olivia is searching for something just the right size to fill her basket. The apple is so small that it rolls around. The zucchini is so long that it sticks out. What will fit just right? Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them."

"Manny and his friends Olivia and Mei blow bubbles in this playful introduction to geometry. Manny's wand is a circle. Olivia's wand is a square. Mei's wand is a heart. What shape will their bubbles be? (Surprise! They're all spheres.) Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them."

Offers strategies for integrating math games and puzzles into learning and gives examples of specific games and puzzles to try. Emphasizes how play can facilitate meaningful learning of mathematical concepts.

This book "is essential reading for early years teachers and students, as well as parents who want to understand and develop their children's early mathematical learning." It also demonstrates that young children are competent mathematical thinkers early on and can be nurtured in this direction.