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Math Methods
Final Exam
| Question | Answer |
|---|---|
| What is the difference between the National Standards and the West Virginia Standards | They have different names and different wording because there was a lot of push back from parents and funding but essentially they are the same. National is known as the SMPs whereas State is the MHMs |
| MHM 1 - Making Connections | Try and build that text-to-text connection with past problems. Can you make a connection with another problem you have solved before ? How will you solve? Do you have a plan? How can you check your answer? |
| MHM 2 - Reason Quantitatively | Can you write a matching equation? Can you connect the numbers and symbols? |
| MHM 3 - Viable Arguments | Defend your answer. Explain it to me. How do you know it is correct? Can you share your thinking in. alogical manner? |
| MHM 4 - Model Mathematics | How can you use math to solve this problem? Connect it to a real life problem/situation, |
| MHM 5 - Using Tools | What tools do you need and how can they help you solve this problem? Having all tools at their disposal. (Manipulatives) Can you estimate the problem first? |
| MHM 6 - Precision | Be precise when communicating to others. What do the symbols mean? What units of measurement are you using? Can you explain the terms? |
| MHM 7 - Make use of Structure | Is there a pattern? Use patterns/structure to your ability. Did you notice a connection to any other problems? |
| MHM 8 - Repeated reasoning | Creating those "shortcuts". Students find familiarity and pattern and find a shorter way to suit their needs. |
| Conceptual Knowledge | Understanding the "why" behind the math. Knowing what it means and how the ideas are connected and why it works. |
| Procedural Knowledge | Knowing the "steps" and how to carry out the process to solve the problem. |
| How are the Similar? | They both help students become strong, confident math learners. Both are needed to help solve problems effectively. |
| How are the Different? | Conceptual is a deeper understanding and tends to last longer whereas procedural can be used and forgotten much easier. Conceptual allows for reasoning through. |
| Example of Conceptual | Understanding why 1/2 is larger than 1/3 |
| Example of Procedural | Following long division steps solving 2 digit problems with regrouping |
| Discalcula indicators | Difficulty remembering math facts. Problems understanding sequence. Trouble learning to count or staying on track while counting. Difficulty recognizing numbers or connecting numbers to quantities. |
| Polyas Process | 1. Understand the problem 2. Make a plan 3. Do the plan 4. Look back (Reflect) |