Teacher Knowledge: What Teachers Know
Teachers of Students in Grades EC – 12
The beginning teacher of mathematics knows and understands:
3.1k |
how to use spatial reasoning to investigate concepts such as direction, orientation, perspective, shape, and structure; |
3.2k |
the use of mathematical reasoning to develop, generalize, justify, and prove geometric relationships; |
3.3k |
connections among geometric ideas and number concepts, measurement, probability and statistics, algebra, and analysis; |
3.4k |
measurement as a process; |
3.5k |
methods of approximation and estimation and the effects of error on measurement; |
3.6k |
how to use measurement to collect data, to recognize relationships, and to develop generalizations, including formulas; |
| 3.7k | how to locate, develop, and solve real-world problems using measurement and geometry concepts; |
3.8k |
how to explore geometry from synthetic, coordinate, and transformational approaches; |
| 3.9k | logical reasoning, justification, and proof in relation to the axiomatic structure of geometry; and |
| 3.10k | how geometry, spatial reasoning, and measurement concepts and principles are developmental and connected across grade levels. |