National Council of Teachers of Mathematics – författare

This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.

The widespread adoption of college- and career-readiness standards, including the Common Core State Standards for Mathematics, presents a historic opportunity to improve mathematics education. What will it take to turn this opportunity into reality in every classroom, school, and district? Continuing its tradition of mathematics education leadership, NCTM has defined and described the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students.Principles to Actions: Ensuring Mathematical Success for All offers guidance to teachers, specialists, coaches, administrators, policymakers, and parents: Builds on the Principles articulated in Principles and Standards for School Mathematics to present six updated Guiding Principles for School MathematicsSupports the first Guiding Principle, Teaching and Learning, with eight essential, research-based Mathematics Teaching PracticesDetails the five remaining Principles—the Essential Elements that support Teaching and Learning as embodied in the Mathematics Teaching PracticesIdentifies obstacles and unproductive and productive beliefs that all stakeholders must recognize, as well as the teacher and student actions that characterize effective teaching and learning aligned with the Mathematics Teaching PracticesWith Principles to Actions, NCTM takes the next step in shaping the development of high-quality standards throughout the United States, Canada, and worldwide.

Quantitative reasoning and measurement competencies support the development of mathematical and scientific thinking in children in the early and middle grades and are fundamental to science, technology, engineering, and mathematics (STEM) education. The sixteenth Journal for Research in Mathematics Education (JRME) Monograph is a report on a four-year-long multisite longitudinal study that studied children’s thinking and learning about geometric measurement (i.e., length, area, and volume). This project studied the developing knowledge of continuous quantity in geometric measurement contexts of children from prekindergarten to grade 5. Its second emphasis was an accounting of the research methods and processes used to clarify and revise learning trajectories (LTs).In this study, the research team worked with the same group of children at a Northeast site from pre-K to grade 2, and with a different group of students at a Midwest site from grade 2 through grade 5. Through the results of this study, the authors clarify how children learn and apply measurement knowledge in pre-K through grade 5), in addition to exploring the development of children’s cognitive abilities (e.g., spatial thinking, proportional reasoning) in understanding and using measurement strategies.

Catalyzing Change in High School Mathematics: Initiating Critical Conversations identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. These challenges include: Explicitly broadening the purposes for teaching high school mathematics beyond a focus on college and career readiness; Dismantling structural obstacles that stand in the way of mathematics working for each and every student;Implementing equitable instructional practices;Identifying Essential Concepts that all high school students should learn and understand at a deep level; andOrganizing the high school curriculum around these Essential Concepts in order to support students’ future personal and professional goals. Catalyzing Change addresses the fact that significant numbers of high school students develop unproductive mathematical identities and see little value in mathematics, while the need for mathematical skills is increasing to meet the workplace, postsecondary education requirements, and to ensure active participation in our democratic society.

Catalyzing Change in Early Childhood and Elementary Mathematics is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, Catalyzing Change in High School Mathematics: Initiating Critical Conversations, was published. The work initiated by that book suggested a need to broaden the critical conversations to include early childhood, elementary, and middle school mathematics. For example, the recommendation for a common shared pathway in high school mathematics must take into consideration what must happen in early childhood and elementary mathematics for a common shared pathway to become a reality in middle and high school mathematics.Catalyzing Change in Early Childhood and Elementary Mathematics: Initiating Critical Conversations recognizes that the strengths and needs of young children must be considered when addressing the continuity and alignment of mathematics education for this student group. It also identifies and addresses the critical conversations necessary to meet the following critical challenges:Broadening the purpose of school mathematics to prioritize development of deep conceptual understanding so that children experience joy and confidence in themselves as emerging mathematiciansDismantling structural obstacles that stand in the way of mathematics working for each and every studentImplementing equitable instructional practices to cultivate students’ positive mathematical identities and a strong sense of agencyOrganizing mathematics along a common shared pathway grounded in the use of mathematical practices and processes to coherently develop a strong foundation of deep mathematical understanding for each and every childRead Catalyzing Change in Early Childhood and Elementary Mathematics and find out why the status quo is unacceptable, what actions you can take to change it, and how to make a difference! Be a part of the bright future of mathematics teaching and learning.

Catalyzing Change in Middle School Mathematics is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, Catalyzing Change in High School Mathematics: Initiating Critical Conversations, was published. The work initiated by that book suggested a need to broaden the critical conversations to include early childhood, elementary, and middle school mathematics. For example, the recommendation for a common shared pathway in high school mathematics must take into consideration what must happen in early childhood, elementary, and middle school mathematics for a common shared pathway to become a reality in high school mathematics.Catalyzing Change in Middle School Mathematics: Initiating Critical Conversations recognizes that the needs of young adolescents are different from elementary and high school–age students and that policies, practices, and issues must consider the unique needs of this student group. Students undergo significant developmental changes from elementary school to middle school. These changes contribute to how they see and understand the world as well as how they see and understand their place in the world. Critical conversations that middle school teachers need to initiate should center on the following serious challenges:Broadening the purpose of school mathematics’ focus to include the development of positive mathematical identities so that students can make purposeful decisions about their future endeavorsDismantling structural obstacles that stand in the way of mathematics working for each and every studentImplementing equitable instructional practices to cultivate students’ positive mathematical identities and strong sense of agencyOrganizing middle school mathematics along a common shared pathway grounded in the use of mathematical practices and processes to coherently develop deep mathematical understandingRead Catalyzing Change in Middle School Mathematics and find out why the status quo is unacceptable, what actions you can take to change it, and how to make a difference! Be a part of the bright future of mathematics teaching and learning.

After reading Catalyzing Change in Middle School Mathematics: Initiating Critical Conversations, you’re energized and eager to join the “conversations.” Where to start? This accompanying resource guide extracts the core content of the book into graphic charts and images, quotes, lists, and reflections so you can be in the conversation, whether it’s striking up a chat with a colleague or participating in a formal group discussion. The basis of catalyzing change—the four key recommendations—are prominent elements of the first page of the Catalyzing Change in Middle School Mathematics Resource Guide along with the “whys” catalyzing change is so crucial to middle-grades-age students’ mathematics education. Each recommendation has its own summary page, including what it entails and how to move it forward. You’ll find this handy tool invaluable as you join the conversation and become a part of the future of mathematics education.