Lecture provides knowledge of the one-sided limits and infinite limits. In this chapter, the following content will be discussed: One-sided limits (continuation), infinite limits. Inviting you refer. | General Mathematics ADE 101 LECTURE No. 32 Review 1 Effective Mathematics Teaching and Learning Mathematics classrooms must be challenging and engaging environments for all students, where students learn significant mathematics. Students are called to engage in solving rich and relevant problems. These problems offer several entry points so that all students can achieve, given sufficient time and support. Lessons are structured to build on students’ prior knowledge. Models help students explore concepts and build understanding Models provide a context for students to solve problems and explain reasoning Models provide opportunities for students to generalize conceptual understanding Students develop their own varied solutions to problems and thus develop a deeper understanding of the mathematics involved. Students consolidate their knowledge through shared and independent practice. Teachers select and/or organize students’ solutions for sharing to highlight the mathematics learning. Teachers need specific mathematics knowledge and mathematics pedagogy to teach effectively. Subtraction Subtraction begins by children literally taking away with objects. This then progresses to counting backwards on the number line. FIND THE DIFFERENCE SHOULD BE INTRODUCED HERE! Children SHOULD then progress to counting FORWARD on the number line. 5 Subtraction Using objects. take away makes 6 Subtraction Number Line “What is 23 take away 8?” 23 22 21 20 19 18 17 16 15 -1 -1 -1 -1 -1 -1 -1 -1 7 Subtraction Number Line Stage 2 “What is 23 take away 8?” 23 22 21 20 19 18 17 16 15 -3 -5 8 Division Sharing Or Grouping These tend to be the classic early models of division. They are slightly different. I will model the difference on the flip chart. 9 Division Sharing With Objects, Grouping With Cups It can help for children’s general development to experience both models of early division. Sharing can be easily be modelled with counters, sweets and the like. 10 Division Sharing With Objects | General Mathematics ADE 101 LECTURE No. 32 Review 1 Effective Mathematics Teaching and Learning Mathematics classrooms must be challenging and engaging environments for all students, where students learn significant mathematics. Students are called to engage in solving rich and relevant problems. These problems offer several entry points so that all students can achieve, given sufficient time and support. Lessons are structured to build on students’ prior knowledge. Models help students explore concepts and build understanding Models provide a context for students to solve problems and explain reasoning Models provide opportunities for students to generalize conceptual understanding Students develop their own varied solutions to problems and thus develop a deeper understanding of the mathematics involved. Students consolidate their knowledge through shared and independent practice. Teachers select and/or organize students’ solutions for sharing to highlight the mathematics learning. .
