Concept-Based Mathematics by Addison Fairbanks https://padlet.com/addisongcf/694the5o9i322a0x en-us 2022-03-24 23:03:15 UTC 2022-05-02 00:00:12 UTC hello@padlet.com Structure of Knowledge addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112751518 The levels are facts, topics, concepts, and generalizations/principles. As students progress, they should move up each level until they have a deep understanding of the particular knowledge (e.g. understanding the fundamental theorem of calculus).]]> 2022-03-24 23:14:28 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112751518 Structure of Process addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112751799 Composed of mathematical processes, algorithms, strategies, and skills. Like the Structure of Knowledge, the goal is to have students progress to the point of conceptual understanding.


]]> 2022-03-24 23:14:46 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112751799 What is the difference between formulae and theorems in mathematics? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112752948 Formula: an equation that uses mathematical symbols or variables to show a relationship; represented by the facts in the Structure of Knowledge
Theorems: statements that have been proven and connect explanations of conceptual understandings; represented by the principles in the Structure of Knowledge]]> 2022-03-24 23:16:10 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112752948 What is the distinction between processes, algorithms, and skills in mathematics? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112753744 Strategies are a number of skills that learners use in a methodical and systematic way to support learning.
Skills are small operations or actions that are embedded in strategies and, when appropriately applied, "allow" the strategies to work; e.g. plotting a graph
Mathematical processes are complex, sophisticated performances, which are composed of strategies, algorithms, and skills; e.g. problem-solving
Algorithms are sets of computational rules to produce a specified outcome; e.g. PEMDAS]]> 2022-03-24 23:17:14 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112753744 What are the key categories of processes in mathematics? Provide examples for each process. addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112753994 Examples
Problem-Solving: Guess and check and look for a pattern
Reasoning and Proof Example: Make generalizations and ask "why"
Communicating: Question and discuss as part of a group
Making Connections: Make connections between facts and connect new problems to old
Creating Representations: Use drawings and symbols and include geometric and algebraic forms of representation
Investigating: Create different lines of inquiry and investigate unfamiliar situations]]> 2022-03-24 23:17:32 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112753994 How is mathematics a language of conceptual relationships made of macro, meso, and micro concepts? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112754202 Macro concepts give a breadth of understanding and possess the greatest transferability across most disciplines. These macro concepts can be broken down into meso and micro concepts.
Macro examples: calculus, geometry, algebra
Meso examples: differentiation, trigonometry, functions
Micro examples: limits, unit vectors, quadratics

From a sociological standpoint, this would be individuals, encompassed in medium systems, encompassed in large systems]]> 2022-03-24 23:17:47 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112754202 Chapter 2 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112760313 2022-03-24 23:25:15 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2112760313 Relationship between Structure of Process and Structure of Knowledge addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2116597253 Complementary, three-dimensional, concept-based models that have a symbiotic (interdependent) relationship]]> 2022-03-28 07:20:34 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2116597253 Six Mathematical Processes Broken Down Into Skills and Strategies addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2116617392 2022-03-28 07:34:03 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2116617392 Chapter 3: What Are Generalizations in Mathematics? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2126723633 2022-04-02 20:23:24 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2126723633 Difference Between Principle and Generalization addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127511346 Generalizations: two or more concepts stated as a sentence of relationship; understandings that transfer through time, across cultures, and across situations in the context of mathematics; overriding ideas we would like our students to understand and transfer
Principles: laws or foundational truths that hold all the attributes of generalizations and commonly describe real-life situations]]> 2022-04-03 20:59:47 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127511346 Why Should Students Know Principles and Generalizations? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127511806 Generalizations are statements of conceptual understanding and represent our goals for learning. They are also known as essential understandings, enduring understandings, or the big ideas in a unit of work. Principles are cornerstone truths that the students should know in order to meet the learning goals.]]> 2022-04-03 21:00:38 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127511806 Levels of Generalizations addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512378 Scaffolding!
Level 1: Generalizations that are weak and do not help learners to fully understand what and why they are learning
Level 2: Generalizations that address how or why a student is learning something
Level 3: Generalizations that explain the purpose/significance of what the student is learning]]> 2022-04-03 21:01:23 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512378 Level 1 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512654 Students will understand that...]]> 2022-04-03 21:01:41 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512654 Level 2 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512747 How or why?
instructional focus]]> 2022-04-03 21:01:51 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512747 Level 3 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512826 So what? What is the significance of effect?]]> 2022-04-03 21:01:58 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127512826 Providing Opportunities for Students to Demonstrate and Communicate Conceptual Understanding addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127513348 Key to inductive teaching is providing students with specific examples from which to draw generalizations.
  • Guiding students, through inquiry, to discover generalizations and principles for themselves
  • Looking at specific examples and seeking patterns in order to devise and write generalizations
  • Writing to communicate how the students have processed information and skills and whether they possess the conceptual understandings of a unit
  • Using a graphic organizer to show a visual representation of how the concepts are related

]]> 2022-04-03 21:02:51 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127513348 Topical and Overarching Generalizations addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127713447 Topical: subject or topic specific; focus on a particular insight we want our students to acquire within a unit of study
Overarching: understandings beyond the specifics of a unit; larger, transferable insights we want students to acquire (often reflect year-long program understandings)]]> 2022-04-04 01:18:50 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2127713447 Chapter 4: How Do I Plan Units of Work for a Concept-Based Curriculum? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136881653 2022-04-08 20:11:33 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136881653 How does unit planning empower teachers? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882223
  • take control of the learning in the lesson 
  • have an input into designing curriculum 
  • allows for creativity
    • ]]>     2022-04-08 20:12:16 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882223     What are the main components for a math unit web? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882544 Unit Web: contains critical content topics and concepts and gives an overview of the depth and breadth of the unit of instruction
    • Knowledge strands
    • Concepts in mathematical processes (process generalizations specific to the unit)
    • Meso concepts
    • Micro concepts
    • Conceptual lenses: purpose is to create a synergy between the factual and conceptual levels of thinking (synergistic thinking)
      • Also known as key concepts (form, logic, and relationships, etc.)
    ]]>     2022-04-08 20:12:43 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882544     How do the three types of essential/guiding questions—factual, conceptual, and debatable—support student learning? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882939
  • Purpose is to help students to connect the factual support with the conceptual understandings 
  • Each question corresponds to a generalization with the purpose of drawing out conceptual understandings
  • Typically 3-5 factual and conceptual questions and 2-3 debatable questions
  • Examples
    • Factual: What are the different forms for the equation of a line?
    • Conceptual: How can you express a linear relationship in different ways?
    • Debatable: How well does a linear function fit all situations in real life?
    • ]]>     2022-04-08 20:13:13 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136882939     How will I encourage collaboration when unit planning? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136883298 State the benefits:
    • saves time 
    • ownership of the material produced
    • use the experience and expertise of the WHOLE team
    • everyone is given an opportunity to contribute
    ]]>     2022-04-08 20:13:43 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136883298     What are KUDs? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136914830 KUDs: What Students Know, Understand, and Do 
    • Know: factual content
    • Understand: generalizations 
    • Do: skills specific to the unit

    ]]>     2022-04-08 20:54:04 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2136914830     Chapter 5: How Do I Captivate Students? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138721405 2022-04-11 06:11:30 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138721405 What strategies do you employ to engage and motivate the hearts and minds of your students? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722153
  • Comparing methodologies and seeing there are several pathways through a problem (such as how to solve a simple addition problem without a calculator)
    • Promotes collaborative and active learning, in which students learn best through engagement
  • Allow for student choice (such as allowing them to choose if they want a computer game, group work, or project with manipulatives)
    • Allows students to have a voice in their learning
  • Classification of mathematical objects and encouragement of discussion by comparing each other’s ideas (such as classifying quadrilaterals by their different properties)
    • Allows open discussion for students to present their ideas and thinking 
  • Connect ideas and topics to the real world
    • Allows students to see relevance and make connections
    • ]]>     2022-04-11 06:12:25 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722153     How do you keep students on task in a social learning environment? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722382
  • Provide them with activities that they can all engage in
  • Promote discussion among students 
  • Allow for group work (my students have shown that they are most on-task when working in groups)
  • Allow for creativity - drawing a picture to represent a problem, solving in different ways, allowing choice when creating a project, etcetera
  • Peer teaching/coaching
    • ]]>     2022-04-11 06:12:42 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722382     How do you promote a growth mindset in your classroom and encourage mistakes as part of the learning process? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722565 Create a safe, secure learning environment 
    • No "dumb" questions
    • Help students change their language (no more "I just don't get it," rather "I don't understand this topic yet")
    • Explain mistakes and common issues 
    • "You are on the right track" 
    • Model mistakes
    • Talk about personal mistakes and how they have helped growth
    • Make room for mistakes - let students know it is a necessary part of learning
    • Open communication - creative feedback when asking a question
    ]]>     2022-04-11 06:12:55 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722565     Do you think it is important to balance whole teacher talk time with student working time? Why or why not? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722764 YES
    Balance is necessary because most students cannot listen or follow along for an extended period of time. It is well-known that students learn best when engaged and interested, so most of the class time needs to revolve around this. Students are not fully engaged and interested if the teacher is presenting the majority of the time. It also does not allow for individual practice so that students can make mistakes.]]>     2022-04-11 06:13:09 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722764     What differentiation strategies do you use to cater to the individual needs of your students? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722961 Give tiered tasks of varying levels of difficult 
    • Example: Allowing students to focus on a topic in a lesson that they need more practice with (probability choices: converting into decimals, vocabulary, finding probability)
    Math games with various topics
    • Allows teacher to see which areas need improvement for individual students
    Tri-Mind activities
    • Example: Students choose how to represent a summary at the end of the lesson (takes into account analytical, practical, and creative thinkers)
    Notes based on varying academic ability
    • Example: Students can write in their own notes, fill in a note template with words missing, or use a fully-filled note template (for students that struggle with writing or focusing, those that are ELLs, those that need to be fully engaged, those that need more time to focus on what the teacher is saying)


    ]]>     2022-04-11 06:13:24 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138722961     What role do you think the structure of your classroom plays in student learning? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138723135 Individual student chairs/tables paired in groups of 4-5
    • Encourages group work
    • Instructional grouping 
    Teacher's desk at the back of the classroom with the whiteboard and projector in front for presenting content 
    • Focus is taken off of the teacher, which allows for higher student autonomy 
    Small group table in the back for quiet, individual work, students that were absent the previous day, or students that need extra guidance
    • Allows students an extra space to get the individualized instruction they need
    ]]>     2022-04-11 06:13:37 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2138723135     Chapter 6: How Do I Know My Students Understand the Concepts? Assessment Strategies addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2153803314 2022-04-22 15:59:00 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2153803314 Choose three of the assessment strategies listed in this chapter. When, why, and how would you use each in your own classroom practice? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157338648 Zero, One, Two, or Three
    • Students write their understanding level in their book/notes to convey how well they understand a concept (0 being did not understand, 4 being completely understand).
    • I can use this in my own classroom practice when introducing new concepts so that I can gauge how well my students are understanding a concept and if they need extra guidance or more challenging tasks. At the end of each lesson, I could create an exit ticket that would allow me to see the different levels of understanding so I can differentiate where needed.
    Agree, Disagree, Depends
    • Students pick whether they agree, disagree, or depends on a factor when given a statement. Their choice reflects their level of understanding.
    • I can use this when reviewing concepts so I can see the levels of understanding and hear the justifications of my students as to why they made their choice. This may be done during a test review or even simply during a lesson.
    Use of Multiple-Choice Questions
    • Students justify their choice of the multiple choices to reflect their thinking and understanding.
    • This is a tool I use already for assessments. During the practice of some lessons, students are given multiple-choice questions during a game. While walking the classroom, I ask them to explain their justification for their choice. 
    ]]>     2022-04-25 20:51:22 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157338648     What are some advantages of visible thinking routines? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157338922
  • Useful for diagnostic and formative feedback
  • Allows students to express and communicate their personal thoughts and biases
    • Gives teachers an insight to student's thinking
    • ]]>     2022-04-25 20:51:38 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157338922     How would you use a visible thinking routine? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339179 Think, Pair, Share
    • Allow students time to think, discuss with a partner, and then share with the rest of the group 
    • Example: Think about a problem given in class, discuss possible processes and solutions with a partner, and discuss these different processes and solutions as a class 
    "I used to think _______ Now I think _______" statements
    • Allow students to identify their misconceptions and how their learning/understanding has changed over the unit
    • Example: Have students write their misconceptions on an idea and what is actually true
    Headlines
    • Have students summarize the key ideas and concepts in a lesson
    • Example: Students write a headline, like in a newspaper, that summarizes the main idea for the lesson
    ]]>     2022-04-25 20:51:54 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339179     Are there other graphic organizers you use that highlight students’ conceptual understanding? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339422 I have used Venn diagrams for students to show relationships between topics. In the Venn diagram, students are to connect what the concepts used in the new unit that were used in the old unit (middle), concepts/skills done in the previous unit that were not touched on in the current unit (left), and completely new concepts (right). This has been very beneficial to me by showing me what students remember and how well they understand the relationships.]]> 2022-04-25 20:52:10 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339422 What math topics lend themselves well to performance assessment tasks? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339591 With the right approach, all math topics lend themselves well to performance assessment tasks. A performance assessment task assess what the students understand (generalizations), what students know (factual knowledge), and what students can do (skills) in a particular unit. They engage student intellect and develop conceptual understanding in a real-world context.]]> 2022-04-25 20:52:23 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339591 How do you develop core skills such as communication, self-management, and research skills in the math classroom? What might you do in the future to improve your practice in developing these skills? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339816 It is necessary to develop core skills such as communication, self-management, and research skills in the mathematics classroom. I have attempted to develop these skills by:
    • using group work so students can learn to communicate with each other using mathematical terms
    • using self-assessments so students can gauge themselves on a topic or behavior 
    • using real-world examples to relate the content to students and allow them to practice research skills (such as discovery activities and hands-on data collection)
    ]]>     2022-04-25 20:52:35 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2157339816     Chapter 7: How Do I Integrate Technology to Foster Conceptual Understanding? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161483460 2022-04-28 03:33:18 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161483460 SAMR Model addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161484255 Substitution, Augmentation, Modification, and Redefinition
    • Hierarchical levels of technology use
      • Substitution and Augmentation fall under "enhancement" of material
      • Modification and Redefinition fall under "transformation" of material
    ]]>     2022-04-28 03:34:08 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161484255     TPACK Model addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161484843 Three main knowledge areas for effective technology integration:
    • Content knowledge (CK) represents the subject knowledge we are teaching (the "what")
    • Pedagogical knowledge (PK) refers to the approaches to teaching, such as inquiry-based, problem-based, or collaborative learning, to name a few (the "how")
    • Technological knowledge (TK) refers to the technological tools that we use to make the content more accessible to students (the "partner")
    ]]>     2022-04-28 03:34:49 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161484843     How do you integrate technology in the math classroom in order to promote and enhance learning? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161485180 Promoting and Enhancing Learning:
    • Create more interactions/collaboration/communication between students
    • Allow for student discovery
    • Keep students engaged
    • Allow for different learning styles
    • Prepare students with life skills
    Examples:
    • Google Applications (Slides, Docs, Sheets)
    • Exit and Entrance Ticket Apps
    • Collaborative Thought and Concepts Maps (like this!)
    • Multimedia Projects
    • Instructional Videos
    • Mathematical Software (my favorite: Desmos)
    ]]>     2022-04-28 03:35:10 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161485180     When would you use technology in your practice and when would you not? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161485546 Technology is a necessary part of the classroom to enhance the content and make it more relatable. It can be used in every aspect in a lesson (from planning, to the lesson itself, to assessments). However, technology should not be used in the classroom if it does not enhance learning. This could be when:
    • it is merely used as a substitution tool
    • it does not support connecting and sharing
    •  when it reduces the chance of failure
    • when it creates harmful shortcuts
    • when it undermines basic or deeper learning
    ]]>     2022-04-28 03:35:32 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161485546     Chapter 8: What Do Ideal Concept-Based Mathematics Classrooms Look Like? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161488914 2022-04-28 03:38:42 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161488914 How will you foster a growth mindset in your classroom? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161489631 Support productive struggle!
    • allow students to struggle (individually and collectively)
    "Not yet" Statements
    • allows students to realize the ability to grow
    Demonstrate mistakes and celebrate corrections
    • allows students to see that mistakes are made by everyone and a part of learning and growing
    Set goals
    • allows students to individually have something to strive for


    ]]>     2022-04-28 03:39:25 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161489631     How will you use the rubric for developing as a concept-based teacher and developing concept-based instruction in your own practice? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161490333 Strive to meet mastery in each category!]]> 2022-04-28 03:39:57 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161490333 What does ideal math learning look like in your classroom? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161490805 Students are highly engaged in the learning and there is excitement in the room.
    • This looks like knowing my students (their interests, backgrounds, and lives) so I can plan my lessons according to this.
    All students are presented with some challenge, regardless of ability or background.
    • This looks like providing challenges based on where they are at (meeting each student individually where they are at).
    Students have a deep understanding of the concepts involved and are able to apply their understanding to different contexts.
    • This looks like the real-world problems I give them, the problems they present, and how they connect each situation.
    ]]>     2022-04-28 03:40:23 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161490805     What is the role of a teacher? Is it to transmit information and knowledge? Or is it to inspire, guide, and facilitate the social process of learning? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161491848 The role of a teacher is to inspire, guide, and facilitate the social process of learning. While teachers do transmit information and knowledge, these are the very basics in which the role of a teacher is built upon. A teacher does not simply teach. We make connections with our students that allow us to inspire, guide, and facilitate the social process of learning.]]> 2022-04-28 03:41:27 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161491848 How will you lead the transition toward concept-based math curriculum for teaching deeper understanding? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161492309 Use the 8 Mathematical Teaching Practices:
    • Establish mathematics goals to focus learning. 
    • Implement tasks that promote reasoning and problem solving. 
    • Use and connect mathematical representations.
    • Facilitate meaningful mathematical discourse. 
    • Pose purposeful questions. 
    • Build procedural fluency from conceptual understanding. 
    • Support productive struggle in learning mathematics. 
    • Elicit and use evidence of student thinking. 
    ]]>     2022-04-28 03:41:55 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161492309     How might you use the SAMR model in your own practice? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161497712 Substitution and Augmentation: Convert lessons/notes to PDFs and upload online for easy reference; allow students to do assignments/answer questions online
    Modification and Redefinition: Use websites like Canvas to manage the class and Zoom to allow for students to ask questions when they normally would not feel comfortable doing so in-person in front of their peers; use websites like Twitter and Skype to collect data/conduct interviews (such as in statistics projects)

    ]]>     2022-04-28 03:47:43 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161497712     How might you apply the TPACK model when planning a unit of work? addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161498453 Content: Have students compile what they know about a topic before a unit and again after the unit
    Pedagogy: Use a concept map or mind map, which may also connect with skills development such as critical thinking, communication, collaborating, and creativity
    Technology: Use a digital mind mapping tool, such as this, to connect ideas (before, after, and connecting what was the same)]]>     2022-04-28 03:48:34 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2161498453     addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166074072 2022-05-01 23:41:19 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166074072 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166077014 2022-05-01 23:46:42 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166077014 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166079403 2022-05-01 23:50:35 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166079403 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166079952 2022-05-01 23:51:32 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166079952 addisongcf https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166080627 2022-05-01 23:52:44 UTC https://padlet.com/addisongcf/694the5o9i322a0x/wish/2166080627