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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