Principles, Standards, and Expectations - National Council of Teachers of Mathematics (2024)

FAQs

What are the 6 principles of NCTM? ›

Schoenfeld and Douglas Clements. The resulting document sets forth a set of six principles (Equity, Curriculum, Teaching, Learning, Assessment, and Technology) that describe NCTM's recommended framework for mathematics programs, and ten general strands or standards that cut across the school mathematics curriculum.

This practical guide includes three 11" x 17" sheets to display the expectations across the four grade bands for each of the five Content Standards: Number and Operations, Algebra, Geometry, Data Analysis and Probability, and Measurement.

NCTM's Standards publications present a vision of appropriate mathematical goals for all students. This vision is based on the assumption that all students are capable of learning mathematics, and it's at the heart of NCTM's efforts to bring high-quality mathematics learning experiences to each and every student.

NCTM's Assessment Principle indicates that assessment should not be done to students; rather, assessments are for students and should be used to guide and enhance their learning. There are several forms of assessment.

The NCTM Standards put forth a broad vision for school mathematics, including many examples and advice for implementation, while CCSS provides a detailed set of grade-by-grade standards that can be immediately adopted as a state curriculum document.

The six principles are articulating goals, making connections, fostering engagement, differentiating challenges, structuring lessons, and promoting fluency and transfer.

Take a deeper dive into understanding the five practices—anticipating, monitoring, selecting, sequencing, and connecting—for facilitating productive mathematical conversations in your high school classrooms... read more. Enhance your fluency in the five practices—anticipating, monitoring, selecting, ... read more.

Teaching and Learning: NCTM provides guidance and resources for the implementation of research-informed and high-quality teaching that supports the learning of each and every student in equitable environments.

What is the mission of the National Council of Teachers of Mathematics? ›

Mission Statement

The National Council of Teachers of Mathematics advocates for high-quality mathematics teaching and learning for each and every student.

This important tool for teachers and education professionals updates the messages of NCTM's previous Standards and shows how students' learning should grow across four grade bands-pre-K-2, 3-5, 6-8, and 9-12.

These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education. The first of these are the NCTM process standards of problem solving, reasoning and proof, communication, representation, and connections.

NCTM Position

Addressing equity and access includes both ensuring that all students attain mathematics proficiency and increasing the numbers of students from all racial, ethnic, linguistic, gender, and socioeconomic groups who attain the highest levels of mathematics achievement.

They were based on five key areas 1) Representation, 2) Reasoning and Proof, 3) Communication, 4) Problem Solving, and 5) Connections. If these look familiar, it is because they are the five process standards from the National Council of Teachers of Mathematics (NCTM, 2000).

The Common Core State Standards for Mathematics have two sets of standards: the Standards for Mathematical Content and the Standards for Mathematical Practice. The content standards are different for each grade level and outline what students are expected to understand and be able to do at each grade.

Common Core Math standardizes and makes quality math education available to all students, regardless of zip code. It raises the bar and makes American students more competitive on a global scale. It is now possible to assess and compare students from different states since their schools follow the same standards.

By design, PBE is guided by six learning principles: local to global context, learner centered, inquiry-based, design thinking, community as classroom, and interdisciplinary approach.

What are the 6 principles for exemplary teaching of English learners academic and other specific purposes? ›

The 6 Principles will help educators: (1) develop English language instruction that directly serves learners' purposes; (2) respect, affirm, and build on learners' background knowledge and experiences as resources; (3) engage learners as partners in shaping their own learning; (4) implement active lessons that advance ...

The results showed that there were some fundamental mathematical activities carried out by middlemen, namely measuring, designing, locating, playing, counting, and explaining.