This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

The Third International Mathematics and Science Study is the largest and most ambitious study ever undertaken by the International Association for the Evaluation of Educational Achievement. Forty-five countries collected data in more than 30 languages. Five grade levels were tested in the two subject areas. This report describes the science achievement of seventh and eighth graders, emphasizing the results from the eighth-grade assessment. Results are presented for the 41 countries that completed all the steps necessary to appear in this report. Singapore was the top performing country at both grade levels, with Colombia, Kuwait, and South Africa performing at the lowest levels. Perhaps the most striking finding was the large difference in average achievement between the top-performing and bottom-performing countries. Results provided a chain of overlapping countries, with most countries having an average achievement similar to that of a cluster of others, but with large differences between the top and bottom of the chain. In most countries and internationally, boys outperformed girls at both grade levels. The majority of eighth graders in nearly every country indicated that they liked science, but not all students had positive feelings about the subject. Home factors were strongly related to achievement in every participating country, but relationships between science achievement and instructional practices were less clear within and across countries. Six appendixes present information on study methodology and selected achievement results for some countries. (Contains 61 tables, 23 appendix tables, 19 figures, and 1 appendix figure.) (SLD)

How to build productive relationships in math education I wasn’t taught this way. I can’t help my child! These are common refrains from today’s parents and guardians, who are often overwhelmed, confused, worried, and frustrated about how to best support their children with what they see as the "new math." The problem has been compounded by the shift to more distance learning in response to a global pandemic. Partnering With Parents in Elementary School Math provides educators with long overdue guidance on how to productively partner and communicate with families about their children’s mathematics learning. It includes reproducible surveys, letters, and planning documents that can be used to improve the home-school relationship, which in turn helps students, parents, teachers, and education leaders alike. Readers will find guidance on how to: · Understand and empathize with what fuels parents’ anxieties and concerns · Align as a school and set parents’ expectations about what math instruction their children will experience and how it will help them · Communicate clearly and productively with parents about their students’ progress, strengths, and needs in math · Run informative and fun family events · support homework · Coach parents to portray a productive disposition about math in front of their children Educators, families, and students are best served when proactive, productive, and healthy relationships have been developed with each other and with the realities of today′s math education. This guide shows how these relationships can be built.