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Math instruction is broken up into 2 parts:
Content Standards and Math Practices
Content Standards and Math Practices
The content standards change at each grade level.
The mathematical practices are the same at each grade level. They apply to all content at every grade.
The New Jersey Student Learning Standards Contain the Following:
Content- The “WHAT”- Different for each grade level
8 Mathematical Practices- The same at each grade level
1. Make sense of problems and PERSEVERE to solving them.
* Teach kids to hang in there and keep at it.
* Decide what operation to use when problem solving.
* Attempt different ways to understand the problem when one doesn’t work.
* We use the word “persevere” with students. Children don’t encounter this perseverance daily like adults did when growing up. Today, children must be taught perseverance as a skill.
2. Reason abstractly and quantitatively.
* Attend to the meaning of math, not just how to compute.
* Be flexible with using different properties of math operations.
3. Construct viable arguments and critique the reasoning of others.
* We play “4 Corners” to practice this in class.
* Have students argue why they chose that answer to the problem.
4. Model with mathematics.
* Draw pictures to explain thinking.
* SHOW your thinking with manipulatives.
* Bring in “real world” scenarios when solving problems.
5. Use appropriate tools strategically.
* Choose ruler, yardstick, or tape measure for specific scenarios.
* Choose grid paper and square tiles to model area, and toothpicks for perimeter.
6. Attend of Precision.
* To build precision: Find the one that is different in a series of pictures, Where’s Waldo, Connect the Dots, Extreme Mazes.
* Understand the language of math. We will use math language and vocabulary when discussing math in the classroom.
7. Look for and make use of structure.
* Any method to add or subtract is ok, but they MUST BE EFFICIENT AND ACCURATE at the one that they choose.
* Arrays to model multiplication and area (rows and columns), bar models, hundred chart, multiplication table patterns, tens frame, part/part/total, recognize the meaning of the equal sign and that it can move spots in the problem
8. Look for and express regularity in repeated reasoning.
* Look for patterns.
Ex: skip counting, connection relationship between addition and multiplication
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