THE ONTARIO CURRICULUM GRADES 1-8 (read p 1-9 of the mathematics curriculum) FIVE STRANDS: Number...

THE ONTARIO CURRICULUM GRADES 1-8

(read p 1-9 of the mathematics curriculum)

FIVE STRANDS:Number Sense and NumerationMeasurementGeometry and Spatial SensePatterning and AlgebraData Management and Probability

Number Sense and Numeration

Counting, numeral representation, more

and/or less than, equal to, art-whole

relationships, base ten…

Measurement

Linear measure, perimeter, area, volume,

mass, time, money, comparing sizes of

objects, non-standard and standard units

of measure…

Geometry and Spatial Sense

Simple and complex shapes (two and

three dimensional), transformational

geometry (flips, slides, turns), attributes

of shapes (vertices, sides, faces),

graphing coordinates…

Patterning and Algebra

Simple repeating patterns, growing

patterns, shape designs, sets of

numbers, patterns in art, graphs, data

collection, equations, relationships,

variables…

Data Management and Probability

Describing and organizing graphs,

statistics, trends, estimations, rations,

fractions, collecting, presenting and

comparing data…

NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS

(NCTM)Ontario Association of Mathematics Educators

(OAME)

The primary professional organization for teacher of mathematics of grades K-12

1989- released Curriculum and Evaluation Standards

1991- released Professional Standards for Teaching Mathematics

FIVE PROCESS STANDARDS

1. Problem Solving2. Reasoning and Proof (conceptual vs.

procedural)3. Communication (oral, written, drawn,

kinesthetic…4. Connections (within and outside

mathematics5. Representation (symbols, diagrams,

graphs, charts, pictures)

SHIFTS IN CLASSROOM ENVIRONMENT

☺ Classrooms as communities and not just collection of individuals

☺ Toward logic and mathematical evidence as verification (away from teacher as authority)

☺ Toward mathematical reasoning (concepts) and away from memorization

☺ Toward conjecturing, inventing, problem solving and creating and away from mechanics of getting the right answer

☺ Toward connecting mathematics to other disciplines