Information about Enhancing the Practice Standards with Technology

MACE 14 Presentation on the Standards of Mathematical Practice

Kahoot Ithttps://kahoot.it 8687 Web or App Based Getting to Know the Math Practice Standards

Presentation Resources - LiveBinder http://goo.gl/LA5c5m

Standards for Mathematical Practice Mathematically Proficient Students… 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

Math Sense Making (In every lesson) All SMPs will not be demonstrated with every math exercise, but multiple standards should be evident in every mathematics lesson.

Understanding the Math Practice Standards ● Illustrative Mathematics ● Scholastic A Guide to the 8 Mathematical Practice Standards ● Read Tennessee ● North Carolina Unpacking of Standards

The Standards for [Student] Mathematical Practice What are the verbs that illustrate the student actions of each mathematical practice?

Mathematical Practice #3: Construct viable arguments and critique the reasoning of others Mathematically proficient students: • understand and use stated assumptions, definitions, and previously established results in constructing arguments. • make conjectures and build a logical progression of statements to explore the truth of their conjectures. • analyze situations by breaking them into cases, and can recognize and use counterexamples. • justify their conclusions, communicate them to others, and respond to the arguments of others. • reason inductively about data, making plausible arguments that take into account the context from which the data arose. • compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. • construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. • determine domains to which an argument applies. • listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.

Blooms Where do the verbs that describe the actions of mathematically proficient students fall on Blooms Taxonomy?

It’s not about the Technology... Educational researchers and practitioners alike assert that the potential of new technologies for learning is likely to be found not in the technologies themselves but in the way in which these technologies are used as tools for learning (Means & Olson, 1995; Owston, 1997; Valdez et al., 1999). Very little mention of technology in CCSM. Technology is a tool for learning!

Things to Consider Does the math tech tool: ● foster understanding of core curriculum content ● allow for practice of curriculum or skills of value ● Create evidence of the students understanding You don't have to bring in an elephant to teach the color grey. -Madeline Hunter

Using Technology to... Connect - Collaborate - Communicate- Create Disclaimer: The following slides suggest Apps, websites and projects that could be utilized to help develop mathematically proficient students. Just because students are using that technology doesn’t mean they are becoming proficient in that math practice! This is just a starting point with the understanding that the practices aren’t isolated and that projects/activities usually support many Math Practice Standards.

Standards for [Student] Mathematical Practices • "Not all tasks are created equal, and different tasks will provoke different levels and kinds of student thinking." ~ Stein, Smith, Henningsen, & Silver, 2000 • "The level and kind of thinking in which students engage determines what they will learn." ~ Hiebert, Carpenter, Fennema, Fuson, Wearne, Murray, Oliver, & Human 1997

Math Sense Making 1. Make sense of problems and persevere in solving them. ● Inside Mathematics ● Math Landing ● Math Performance Tasks

Math Sense Making 6. Attend to precision Reflex Math Moby Max Arcademics Brain Genie IXL Learn Zillion NRich Math Motion Math Apps

Reasoning & Explaining 2. Reason abstractly and quantitatively. mathreasoninginventory.org 3. Construct Viable Arguments and Critique the reasoning of others. Skype - Classroom Nearpod Educreations Comic Strip Creators

Modeling and Using Tools 4. Model with mathematics. 5. Use appropriate tools strategically Virtual Manipulatives & Interactives Thinking Blocks Planet Nutshell

Looking for Structure & Generalizing 7. Look for and make sense of structure. 8. Look for and express regularity in repeated a mer a reasoning. ad C r iP you t tool! t iCard Sort orge grea ’t f s a i Don Padlet Poplet Thinglink Math Terms

Math Class Needs a Makeover Dan Meyer Ted Talk https://www.youtube.com/watch?v=NWUFjb8w9Ps

Reflections My definition of a good teacher has changed from "one who explains things so well that students understand" to "one who gets students to explain things so well that they can be understood." (Steven C. Reinhart, "Never say anything a kid can say!" Mathematics Teaching in the Middle School 5, 8 [2000]: 478)

Reflections What I learned in school may be growing increasingly obsolete today, but how I learned to learn is what helps me keep up with the world around me. I have the study of mathematics to thank for that. -Richard Schaar

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