TA Chapters 4 & 5

TA Chapters 4 & 5

Chapter 4: Build Procedural Fluency from Conceptual Understanding
Chapter 5: Pose Purposeful Questions 

Children need to develop a foundational understanding for mathematics. This foundation includes understanding of relationships and operations. This is important, because as students advance, these things will still always be there. Mathematics can increase in difficulty, but it still includes basic concepts. Asking questions is a major instructional tool that teachers use. Teachers ask questions to see what students already know and to expand on what they know. It is important that teachers consider the questions they are posing to students and how they will deepen the mathematical understanding of students.

Implications for Future Teaching: It is important that I give students a baseline or foundation of mathematical understanding. Even in the lower grades, students will learn concepts that they will use in the rest of their mathematical learning. It is also important to consider the ways students can learn from questioning and answering in the classroom.

2 Questions: 

 1. How can we help students realize that math builds upon itself and that they will not stop using the basic concepts as they progress?

2. How can you ask questions that build understanding in untraditional ways?

Comments

  1. Dr. NugentOctober 26, 2019 at 9:16 AM

    Darby...good questions:) I really had to think about your first question...I think that they need to trust you. However, if they don't they may have to realize by failure...I am not exactly sure what you mean by your second question. Are you referring to nontraditional algorithms? If so, I would have the student who uses a non-traditional strategy explain their thinking and have their peers question them? Thanks!

    ReplyDelete

Post a Comment

Popular posts from this blog

Double impact: Mathematics and executive function

Double impact: Mathematics and executive function This article discusses  the goal of "double impact." This goal is to develop students mathematical proficiencies and executive  function skills at the same time. Executive function skills allow children to consider and change their own thinking. These are extremely important skills for children to have. The three categories of executive  function skills are inhibitory control, working memory, and attention shifting and cognitive flexibility. Inhibitory control is the idea that students need to stop to think about what they are doing before they instinctively solve a problem (possibly in the wrong way). Working memory means thats students have the capability to hold and process information they have read or learned. Cognitive flexibility is the capability of students to adjust their thinking and strategies to certain situations. All of these things can be adjusted or scaffolded to meet the levels and need...
Read more

Curriculum Grade Level

Curriculum Grade Level 6th Grade Creating this year-long curriculum grade level plan was extremely beneficial. I think I learned a lot from this assignment. I knew there were many standards that need to be covered throughout the course of a year, but I was not aware that these standards are split into domains at each grade level. It was very helpful to use the chart and break down the domains and standards into quarters and semesters. It was very beneficial to plan activities and projects that align to each quarter and semester. This gave me an idea of how to begin planning a year-long curriculum in my future classroom. After watching the videos from the other groups, I realized how much the domains aligned across grade level. I discussed this more in my curriculum alignment blog. It was very beneficial to see how the domains and standards line up in the elementary grades. Part of this assignment was very frustrating, but overall I think the assignment is very helpful and is som...
Read more

TA Chapters 6 & 7

TA Chapters 6 & 7 Chapter 6: Use and Connect Mathematical Representations Chapter 7: Facilitate Meaningful Mathematical Discourse Summary: Chapter 6 discusses the importance of using representations such as manipulatives and drawings to model mathematical concepts. These visual tools can help students better understand what they are doing before they start solving problems more abstractly. Chapter 7 discusses the importance of the methods of teaching mathematics. One of the major discourses discussed was discussions whether these are whole class, small group, or partner discussions. Discussing concepts can help students put their ideas into words leading to a better understanding of mathematics.  Implications for Future Teaching: One of the major things I got from these two chapters is the importance of variety in instruction. While models can really help visual learners, discussions can really help auditory learners. I want to make sure I am catering to the nee...
Read more