Generalist EC-6 Math

It is the National council of Teachers of Mathematics.
In 2000, they published the "Principles & Standards for School Mathematics".

Equity-high expectations & stron support for all students
Curriculum - must be coherent, focused on important math, & well-articulated concepts across the grades.
Teaching-requires knowledge of what students know & need to learn & then challenge/support students.
Learning- students learn math w/understanding, actively building new knowledge from experience & previous knowledge.
Assessment-should support the learning of important math concepts & furnish useful info. to teachers/students.
Technology- essential in teaching/learning math; influences teaching of math & enchances students' learning.

Number & Operations, Algebra, Geometry, Measurement, Data Analysis & Probability.

Deals w/ understanding numbers, devloping meanings of operations, & computing fluency.

Algebraic symbols & procedures are math accomplishment in the history of math.It is tied to the representation of quantitative relations & a style of math thinking formalizing pattersn, functions, & generalizations.

Measurent is crucial in math because of its use in daily life.It includes understanding attributes, units, systems, & processes of measurement in addition to applying techniques, tools, & formulas.

Students must formulate questions & collect, organize, & display data to answer key questions. It emphasizes learning appropriate statistical mtheods to analyze date, making inferences/predictions, & understanding/using basic concepts of probability.

Problem Solving, Reasoning & Proof, Communication, Connections, & Representations.

Students formulate and solve complex problems that involve effort. They acquire ways of thinking, habits of persistence & curiosity, & confidence in unfamiliar situations which will help them in life.

REAONSING & PROVIDING JUSTIFICATION.
They offer powrful ways of developing & expressing insights. Students identify pattersn, structure, or regularities; makingmath conjectures, develop/evaluate math arguments/proofs

Way of sharing ideas & clarifying understanding. Communication allows ideas to become objects of reflection, refinement, discussion, & amendment.

When students connect math ideas, their understanding is deeper, more lasting, & they come to view math as a coherent whole.

Math ideas can be represented by: pictures, concrete materials, tables, graphs, number & letter sybols, spreashee display, etc.

Number concepts- teacher uses numbers, number systems, & their structure, operations & algorithms, quantitative reasongin, & technology appropriate to teach TEKS.

Pattersn & Algebra - Teachers uses patterns, realtions, functions, algebraic reasoning, analysis, & techn. appropriate to teach TEKS.

Geometry & Measurement- Uses geometry, spatial reasoning, measurement concepts & principles, & techn. appropraite to teach TEKS.

Probability & Statistics - uses probability & statistics, their applications, & techn. appropriate for teaching TEKS.

Mathematical Processes; uses math processes to reason mathematically, to solve math problems, to make math connections within & outside of mathematics, & to communicate mathematically.

Mathematical Perspectives - the historical development of mathematical ideas, the interrelationshiop between society & math, the structure of math, & the evolving nature of math & math knowledge.

Mathematical Learning & Instruction - understands how children learn & devlop math skills, procedures, & concpts, knows typical errors students make & uses this knowledge to plan, organize, & implement instruction; to meet curriculum goals, & to teach all students to understand & use math.

Math Assessment - understands assessment & uses a variety of formal & informal assessment techniques appropriate to the learner on an ongoing basis to monitor & guide instruction & to evaluate & report student progress.

Professional Development- understands mathematics as a teaching profession, knows the value & rewards of being a reflective practitioner, & realizes the importance of making a lifelong commitment to professional growth & development.