Math Methods Blog Roll

  • When I first started this semester, I was able to observe the students in my placement work on several basic skills (such addition, subtraction, and mult...
    15 years ago
  • *How do children develop their own strategies?* I have come to believe that children develop their own strategies. Sometimes, it happens as a result of conf...
    15 years ago
  • Upon working with a student in my math group this past week, I discovered a very interesting strategy of solving computation problems that I have not yet s...
    15 years ago
  • *Intro* As was stated in the Van de Wall text, students do not spontaneously invent wonderful computational methods while the teacher sits back and w...
    15 years ago
  • Invented math strategies are a particular area of interest to me. Although I don’t particularly like the term “invented” (I lean towards “personal”), I do ...
    15 years ago
  • Looking back at my problem solving interview many things become clear. First and foremost, my student used many different methods to solve all the problems...
    15 years ago
  • In the problem-solving interview, my student N used a mix of counting strategies and direct modeling strategies to solve the problems. I particularly remem...
    15 years ago
  • In my problem solving interview at Houston Elementary, my student used direct modeling and traditional algorithms for most of the problems I asked her, but...
    15 years ago
  • DISCLAIMER: This is my second time to try this, because my computer decided to lock up before I could write the last few steps of my second strategy. So, ...
    15 years ago
  • Blog 4 invented strategies I have not been able to really think of beside some mental computation going on in my student teaching. I have seen one student ...
    15 years ago
  • Many of my students' go-to strategies are on the lower level of different types of problem solving. This is not to say that my students' strategies are le...
    15 years ago
  • My student at Houston Elementary used several strategies when attempting to solve math problems. She set up the problems originally using the...
    15 years ago
  • The student I interviewed at Houston Elementary had a very interesting way of solving a division problem that I read to her. The problem asked if there wer...
    15 years ago
  • My student at Houston Elementary tended to use a direct model approach to almost all of the problems. This really worked for her in solving problems, howe...
    15 years ago
  • In observing students engaged in mathematical thinking, both during the math interview and during the math lessons I teach at my school, I have been able...
    15 years ago
  • Throughout our problem solving interview, we were to let the students solve the problems the way they wanted to. For someone like me, who ...
    15 years ago
  • Problem being examined: Join Change Unknown: *student name finds 12 rocks on the playground. Everyone comes and wants to play with his rocks. How many more...
    15 years ago

Wednesday, September 1, 2010

Responses to the readings - Week 2

Please post your responses to this week's readings on your blog. Please use your books and the articles as references. Use the terminology and the ideas from the readings in your answers. Point to specific examples in the reading by providing page numbers.

1. How does taking a problem-solving approach to teaching math differ from first teaching children the skills they need to solve problems and then showing children how to use those skills to solve problems?

2. How do you think your experiences, feelings, and beliefs about math will impact the kind of teacher of math that you will be or the kind of teacher of math that you want to be?

3. Not everyone believes in the constructivist-oriented approach to teaching mathematics. Some of their reasons include the following: There is not enough time to let kids discover everything. Basic facts and ideas are better taught through quality explanations. Students should not have to "reinvent the wheel." How would you respond to these arguments?

4. We sometimes want to jump in and help strugglng students by saying things like, "It's easy! Let me help you!" Is this good idea? What is a better way of helping a student who is having difficulty solving a problem?

5. Reflecting on how tasks were defined in the Van de Walle chapters, how did the tasks presented in the Behrand article to Learning-Disabled students help in their mathematical development? Please give specific examples.

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