WGU D237 Final Exam Study Guide/ (Top 2024/2025 EXAM REVIEW PAPERS / GRADED A+/ 100% Accurate)

WGU D237 Final Exam Study Guide A teacher is planning a lesson on adding and subtracting positive and negative integers. The teacher will use red and black chips as a manipulative and allow students to develop patterns for understanding the addition and subtraction problems. The following NCTM standard is associated with the lesson: "Represent the idea of a variable as an unknown quantity using a letter or a symbol." How do you rate the activity and alignment to the standard? -The activity is effective at showing students how to add and subtract integers but the standard is not aligned. A teacher wants students to write out how to use positive and negative chips to model operations with integers. How does this lesson address the Communication Standard from the Principles for School Mathematics? -Students will use precise math language to express their reasoning. Which stakeholder is directly in charge of choosing mathematical standards? -State departments of education According to the Teaching Principle defined by NCTM, what does effective mathematics teaching require? -teachers must (1) understand deeply the mathematics content they are teaching; (2) understand how students learn mathematics, including a keen awareness of the individual mathematical development of their own students and common misconceptions; and (3) select meaningful instructional tasks and generalizable strategies that will enhance learning. A teacher is planning a lesson on finding the area of rectangles. The teacher allows students to use a geoboard to create rectangles and assist in finding the area of those rectangles. The following standard is associated with the lesson: Measure and estimate liquid volumes and masses of objects. How should the teacher rate the activity and alignment to the standard? -The activity is effective at showing students how to find the area of rectangles, but the standard is not aligned. Which type of understanding: Relational or Instrumental? Giving your students a problem and asking them to explain how they arrived at the solution - Relational Asks students to demonstrate their reasoning -Relational Understanding Relational or Instrumental: Having your students complete a ten question quiz -Instrumental. Consider, however, turning this into relational understanding by having students explain their answers to each other. Relational or Instrumental: Having students compete to see who can complete the most questions - Instrumental: Competition and game activities are fun and can help learning, but make sure that it goes beyond demonstrating instrumental understanding. Relational or Instrumental: Asking students "Was there something in the problem that reminded you of another problem you have done?" -Relational. This question is a great way to help students make connections either to other things they've learned in class or things they've experienced outside of class. Relational or Instrumental: Having your students memorize the multiplication table to be able to answer questions faster. -Instrumental. This can be a helpful and even necessary activity, but make sure that students are able to use this for other activities that foster relational understanding. Relational or Instrumental: Using problem based learning -Relational. This is a great way to engage students in scenarios that encourage deeper thinking and relational understanding. Constructivism -a learning theory based on the idea that knowledge is constructed and not merely transferred. Everyone builds knowledge by making connections in their brains to prior knowledge and prior academic learning that they already have. As they do this, they are also creating meaning about what they are learning and experiencing. When you use constructivist techniques in your classroom, your students will become more active, rather than passive, learners. Three aspects of understanding mathemati