Stony Brook University Teacher Candidate Evaluation Form Page 7

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10.4 Use mathematical models to represent and understand quantitative relationships.
10.5 Use technological tools to explore algebraic ideas and representations of information and in
solving problems. [Analyze change in various contexts.]
10.6 Demonstrate knowledge of the historical development of algebra including contributions
from diverse cultures.
Evidence in candidate’s planning & teaching:
1
2
3
4
Comments:
Standard 11: Knowledge of Geometries
Candidates use spatial visualization and geometric modeling to explore and analyze geometric
shapes, structures, and their properties.
Indicators
11.1Demonstrate knowledge of core concepts and principles of Euclidean [geometry] and non-
Euclidean geometries in two and three dimensions from both formal and informal perspectives.
11.2 Exhibit knowledge of [informal proof] the role of axiomatic systems and proofs in
geometry.
11.3 Analyze characteristics and relationships of geometric shapes and structures.
11.4 Build and manipulate representations of two- and three- dimensional objects and visualize
objects from different perspectives.
11.5 Specify locations and describe spatial relationships using coordinate geometry, vectors, and
other representational systems. [Analyze properties and relationships of geometric shapes and
structures.]
11.6 Apply transformations and use symmetry, similarity, and congruence to analyze
mathematical situations.
11.7 Use concrete models, drawings, and dynamic geometric software to explore geometric ideas
and their applications in real-world contexts.
11.8 Demonstrate knowledge of the historical development of Euclidean and non-Euclidean
geometries including contributions from diverse cultures.
Evidence in candidate’s planning & teaching:
1
2
3
4
Comments:
Stony Brook University Mathematics Teacher Education Programs
7/10
NCTM Standards Evaluation Form

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00 votes

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