Concept Based Mathematic Ch 2 by Viviana Tellez Matias https://padlet.com/vtellezm/xd3jvyrh4iu4emtb en-us 2024-09-24 20:39:15 UTC 2024-09-24 22:41:50 UTC hello@padlet.com Structure of Knowledge vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136508942 2024-09-24 20:45:30 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136508942 Structure of Process vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136509705 2024-09-24 20:46:07 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136509705 Formulae vs Theorems vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136510856 2024-09-24 20:47:07 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136510856 The Generalization and Principles level vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136523478 -Statements of conceptual understanding that allow students to make connections between two or more concepts

-Principles are theorems

-An investment of time is necessary to craft quality generalizations

]]> 2024-09-24 20:58:54 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136523478 The Topic and Concept Levels vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136538597 -A topic is a broad concept

-A concept is a specific idea within that topic

]]> 2024-09-24 21:10:47 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136538597 The Factual Level vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136541276 -Factual knowledge includes rote memorization

-Does not guarantee the conceptual depth of understanding

]]> 2024-09-24 21:14:00 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136541276 Formulae vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136552787 -An equation that uses mathematical symbols or variables to show a relationship

-Represented by facts

]]> 2024-09-24 21:26:09 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136552787 Theorems vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136558076 -Statements that have been proven

-Connect explanations of conceptual understandings

-Represented by principles

]]> 2024-09-24 21:29:57 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136558076 The symbiotic relationship between the two structures vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136565699 Refers to the knowledge and the strategies and skills needed for mathematical understanding

]]> 2024-09-24 21:37:10 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136565699 Skills vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136571175 -Small operations or actions that are embedded in strategies

-Ex: Being able to create a table of values

]]> 2024-09-24 21:44:58 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136571175 Mathematical Processes vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136573610 -Broad techniques that students draw upon when learning mathematics

-Ex: Problem-solving

-Composed of strategies, algorithms, and skills

]]> 2024-09-24 21:47:58 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136573610 Strategies vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136575778 -Many skills that learners use methodically and systematically to support learning

]]> 2024-09-24 21:51:03 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136575778 Algorithms vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136577511 -Consist of skills, which allow learners to follow a set of rules leading to a specified outcome

]]> 2024-09-24 21:53:19 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136577511 1. Problem-solving vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579049 -A defined series of skills and strategies that form mathematical techniques

-Should be engaging, challenging, and motivating

-Ex: look for a pattern, guess and check, act it out, preserve

Steps:

  1. Understand the problem

  2. Devise a plan

  3. Carry out the plan

  4. Review and extend

]]> 2024-09-24 21:55:30 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579049 2. Reasoning and Proof vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579368 -The ability to make generalizations and provide explanations and justifications for arguments is key to the reasoning skill

-Builds mathematical memory to understand concepts

It gives learners opportunities to make mistakes

-Ex: make generalizations, ask "why", use data to make a conjecture

]]> 2024-09-24 21:55:57 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579368 3. Communicating vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579841 -Talking and writing about mathematics

-presenting different methodologies allows learners to see different perspectives

-Ex: Listen, discuss, and use correct mathematical terminology, explain ideas

]]> 2024-09-24 21:56:22 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136579841 4. Making Connections vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136580080 -The learner's ability to see connections between facts and how they relate to each other, make real-world connections to mathematics, make connections between symbols and procedures, and connect new problems to old problems

]]> 2024-09-24 21:56:44 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136580080 5. Creating Representations vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136580315 -Are ways to express mathematical ideas

-Helps learners organize, record, and communicate mathematical ideas

-Ex: graphs, tables, symbols, drawings

]]> 2024-09-24 21:57:08 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136580315 Number Talks vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136600635 A communication tool to help students develop computational fluency by comparing number relationships and looking at different ways to perform operations

]]> 2024-09-24 22:25:47 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136600635 Macro, Meso, and Micro Concepts in Mathematics vtellezm https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136611858 Mathematics is structured by its concepts and the conceptual relationships

  • Mathematics is a concept-driven discipline

]]> 2024-09-24 22:41:50 UTC https://padlet.com/vtellezm/xd3jvyrh4iu4emtb/wish/3136611858