603 DB3

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Touro College *

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603

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Mathematics

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Feb 20, 2024

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docx

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2

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1. What are the Big Ideas or Focal Points in the mathematics curriculum in grades 1-3? Elementary mathematics education is tasked with instilling vital skills within students. These skills employ mathematics to tackle real-world problems, applying logical reasoning, creating connections between concepts, and extending the applicability of mathematical principles beyond the subject itself (NYS Common Core Learning Standards). In the first grade, students focus on building their foundational knowledge in mathematics. They work on developing their understanding of addition and subtraction strategies for basic facts, as well as related subtraction facts. They begin to grasp whole number relationships, including the concept of grouping in tens and ones. In this grade, students also explore geometric shapes, which facilitates the development of their conceptual understanding of mathematics, empowering them to gather, analyze, and interpret data while proposing solutions and making predictions (Adams & Hamm, 2014). Moving on to the second grade, the curriculum advances as students delve into more complex mathematical concepts. They develop a solid understanding of the base-ten numeration system and place-value concepts. Second graders aim to achieve quick recall of addition facts and related subtraction facts, while also gaining fluency in multidigit addition and subtraction. Linear measurement becomes a focus, with students working on their ability to measure length effectively. In the third grade, students continue to expand their mathematical proficiency. They develop a deeper understanding of multiplication and division, along with strategies for basic multiplication facts and related division facts. They dive into the realm of fractions and explore concepts related to fraction equivalence. Another aspect of their mathematical journey involves describing and analyzing properties of two-dimensional shapes. 2. What real-world experience could a teacher use to engage students in a discussion about understanding math operations in grades 1-3? One effective real-world experience for engaging students in grades 1-3 in a discussion about understanding math operations is grocery shopping. Teachers can design activities where students have to calculate quantities, prices, and make budgeting decisions while selecting items at a grocery store. This activity incorporates addition, subtraction, and basic multiplication as students add up prices, determine change, and compare quantities. It also reinforces the importance of practical math skills in everyday life, making math operations more relatable and meaningful for young learners in grades 1-3. Questions : 1. How does the curriculum in grades 1-3 emphasize the development of number sense and operations, including concepts like place value and basic arithmetic operations? 2. What are some key measurement and data skills that students in grades 1-3 are expected to acquire, and how do these concepts relate to real-life situations? 3. Can you explain the importance of introducing students to foundational concepts in geometry and spatial reasoning during grades 1-3, and how does it contribute to their overall mathematical understanding? 4. In what ways does the curriculum support the progression of mathematical thinking from concrete to abstract for students in grades 1-3, and how do educators facilitate this transition effectively?
Additional Source: https://www.edutopia.org/article/7-real-world-math-strategies/ References: Adams, D., & Hamm, M. (2014). Teaching math, science, and technology in schools today guidelines for engaging both eager and reluctant learners. Rowman & Littlefield Education New York State P-12 Common Core Learning Standards for Mathematics . EngageNY. (n.d.) https://www.engageny.org/resource/new-york-state-p-12-common-core-learning-standards-for- mathematics.
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