My stellar padlet by Staff.Patience Sharp https://padlet.com/psharp4/y11c4e1x8jd696p5 en-us 2023-05-25 19:07:02 UTC 2023-05-30 18:21:19 UTC hello@padlet.com Generalizations are defined as two or more concepts stated as a sentence of relationships. They are truths supported by factual examples, but they may include a qualifier when the idea is important but does not hold in all instances. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609441618 2023-05-30 17:55:24 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609441618 Promoting mathematical generalizations lies at the core of all mathematics because it concerns the development of higher psychological processes. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609443349 2023-05-30 17:57:11 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609443349 Principles are laws are foundational truths that hold all the attributes of generalizations and commonly describe real-life situations. Theorems are the principles in mathematics, and never contain qualifiers...two mathematical processes - problem solving and making connections -- support process generalization. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609446813 2023-05-30 18:00:42 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609446813 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609447489 2023-05-30 18:01:23 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609447489 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609448301 2023-05-30 18:02:12 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609448301 Understanding principles and generalizations in mathematics is essential for students as it promotes a deep understanding of the subject, enables the transfer of knowledge to new situations, enhances problem-solving skills, fosters mathematical reasoning, develops flexibility and adaptability in thinking, and establishes a foundation for lifelong learning. By comprehending the underlying concepts, students can make connections, identify patterns, and apply their knowledge in various contexts, thus equipping them with the skills necessary to think critically and creatively in mathematical endeavors. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609451315 2023-05-30 18:05:23 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609451315 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609452493 2023-05-30 18:06:24 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609452493 Level 1 generalizations do not help learners fully understand what and why they are learning. Goal should be to write Level 2 generalizations by asking how and why questions. Level 3 generalizations address the question, "So what is the significance or effect." Level 3 can be used to express the real-world value of mathematics or to mathematically extend the Level 2 understanding with greater conceptual specificity. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609453641 2023-05-30 18:07:22 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609453641 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609455644 2023-05-30 18:09:03 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609455644 Effective mathematics learning arises out of guiding students to particular principles or generalizations through inductive inquiry. psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609457200 2023-05-30 18:10:10 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609457200 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609458280 2023-05-30 18:10:59 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609458280 psharp4 https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609458987 2023-05-30 18:11:32 UTC https://padlet.com/psharp4/y11c4e1x8jd696p5/wish/2609458987