Toolbox: Evidence Based Practices in Mathematics by

Toolbox: Evidence Based Practices in Mathematics by https://padlet.com/amandamann/amandamann Made with ♥ en-us 2021-05-26 20:06:04 UTC 2025-10-24 16:07:11 UTC hello@padlet.com https://padlet.net/icons/png/1f4a1.png Positive MathematicalMindsets and ProductiveStruggle amandamann https://padlet.com/amandamann/amandamann/wish/1562846468

An approach that teaches that a growth mindset leads to better performance in Mathematics

Key concepts:

Praise the process - not the final product
Mistakes are valuable and grow your brain
Value diligence over speed

More information here

Example:

]]> 2021-05-26 20:08:18 UTC https://padlet.com/amandamann/amandamann/wish/1562846468 Gamification amandamann https://padlet.com/amandamann/amandamann/wish/1562846823

The act of incorporating games or gaming elements into a learning activity

Benefits to students are increased engagement in learning and productivity as they making learning feel fun and voluntary

Incentivizes students and increases information retention

Some examples include Quizizz or Gimkit

More information here

Example:

]]> 2021-05-26 20:08:26 UTC https://padlet.com/amandamann/amandamann/wish/1562846823 Number Talks amandamann https://padlet.com/amandamann/amandamann/wish/1562847033

Whole group 15-20min activity in which students are presented a problem, find the answer in their heads, then justify their answer / explain their reasoning

Teacher's role is facilitator, recorder and encourager while students own the thinking aloud and reasoning

Example of a middle school prompt: Have students mentally find 35% of 160

More information here

Example:

]]> 2021-05-26 20:08:31 UTC https://padlet.com/amandamann/amandamann/wish/1562847033 Solve It! amandamann https://padlet.com/amandamann/amandamann/wish/1562847215

Setting: Small group or individual

Scripted curriculum that helps to facilitate good problem-solving skills

Students participate in a series of steps that allow them to show their thinking and higher-order problems solving skills

After 3 days of learning the procedures, students engage with Solve It! strategy 30 minutes a week

More information here

Example (scripted curriculum):

]]> 2021-05-26 20:08:36 UTC https://padlet.com/amandamann/amandamann/wish/1562847215 Project-Based Learning amandamann https://padlet.com/amandamann/amandamann/wish/1562847433

Allows students to learn by actively engaging in real-word projects or scenarios for an extended period of time

Includes answering or exploring a complex question, problem or challenge

Helps to promote critical thinking, communication, problem solving, collaboration, and higher-order thinking skills

More information here

Example:

]]> 2021-05-26 20:08:41 UTC https://padlet.com/amandamann/amandamann/wish/1562847433 Accountable Talk amandamann https://padlet.com/amandamann/amandamann/wish/1562873279

Used to enrich math discussions or exploration of a math topic by holding students accountable for keeping the conversation on topic and promoting deep thinking

The teacher should consistently (on a daily basis) be modeling what accountable talk looks like

Some moves for accountable talk:

Building on prior knowledge
Marking the conversation
Challenging students
Keeping the channels open

More information here

Example:

]]> 2021-05-26 20:19:19 UTC https://padlet.com/amandamann/amandamann/wish/1562873279 Graphic Organizers amandamann https://padlet.com/amandamann/amandamann/wish/1562873520

Used to help facilitate understanding of new concepts

Helps students visually organize their thinking

Can be used for a variety of math topics and modified to meet the needs of the lesson

Some use cases include vocabulary, processes, classification, Frayer Model,

More information here

Example:

]]> 2021-05-26 20:19:25 UTC https://padlet.com/amandamann/amandamann/wish/1562873520 Math Peer-Assisted Learning Strategies (PALS) amandamann https://padlet.com/amandamann/amandamann/wish/1562873718

Whole-class peer tutoring program in which mixed-ability pairs are formed to practice mathematics skills

Pair consists of a Coach and Player

First 15-20 mins of class
- Coach reads a prompt
- Player begins working through problems
- Coach provides feedback when needed
- Players take turns as Coach and Player
Remaining time
- Students work independently then work together to check practice work

More information here

Example:

]]> 2021-05-26 20:19:30 UTC https://padlet.com/amandamann/amandamann/wish/1562873718 Word Problem Mnemonics amandamann https://padlet.com/amandamann/amandamann/wish/1562873960

A framework for helping students solve word problems using strategies and techniques to help students remember steps or a sequence

Mnemonic should be taught explicitly and teacher should model problem-solving with each step or sequence following by opportunities to practice

Should be a framework that can be generalized and used on a variety of word problems

Typically accompanied by a visual (see below)

More information here

Example:

]]> 2021-05-26 20:19:36 UTC https://padlet.com/amandamann/amandamann/wish/1562873960 Multiple Problem-Solving Strategies amandamann https://padlet.com/amandamann/amandamann/wish/1562874184

Introduce problems that can be solved in more than one way

Use think-aloud to solve a problem with different strategies

Encourage and help to facilitate discussion around the different strategies (efficiency, clarity, similarities, differences)

Provide worked examples in addition to practice problems

More information here (pg 32)

Example:

]]> 2021-05-26 20:19:41 UTC https://padlet.com/amandamann/amandamann/wish/1562874184 REFERENCES amandamann https://padlet.com/amandamann/amandamann/wish/1579624662 ^{Multiple Problem-Solving Strategies}^{Improving Mathematical Problem Solving in Grades 4 Through 8 NCEE 2012-4055 U.S. DEPARTMENT OF EDUCATION}^{. (n.d.). https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/MPS_PG_043012.pdf}^{Word Problem Mnemonics}^{Word Problem Mnemonics - Evidence Based Intervention Network}^{. (2014, February 18). Evidence Based Intervention Network. https://education.missouri.edu/ebi/2014/02/18/word-problem-mnemonics/}^{Math Peer-Assisted Learning Strategies (PALS)}^{Math Peer-Assisted Learning Strategies (PALS) - Evidence Based Intervention Network}^{. (2014, January 30). Evidence Based Intervention Network. https://education.missouri.edu/ebi/2014/01/30/math-peer-assisted-learning-strategies-pals-2/}

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^{‌Graphic Organizers}^{Graphic Organizers - Evidence Based Intervention Network}^{. (2014, January 30). Evidence Based Intervention Network. https://education.missouri.edu/ebi/2014/01/30/graphic-organizers/}^{Accountable Talk}^Perusall^{. (2021). Perusall.com. https://app.perusall.com/courses/summer-2021-rem-and-sup-for-st-w-dis-math-sped-6332-01f-02f/visible-learning-for-mathematics-grades-k-12-what-works-best-to-optimize-student-learning?chapter=s9781506362984.i1084&anchor=s9781506362984.i1138}

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^{‌Project-Based Learning}^{What is PBL?}^{(2021). PBLWorks. https://www.pblworks.org/what-is-pbl#:~:text=Project%20Based%20Learning%20is%20a,question%2C%20problem%2C%20or%20challenge}^{Solve It!}^{Math – Acquisition - Evidence Based Intervention Network}^{. (2013). Evidence Based Intervention Network. https://education.missouri.edu/ebi/math-acquisition/}

^{Number Talks}^{Georgia Standards}^{. (2019). Georgiastandards.org. https://www.georgiastandards.org/Georgia-Standards/Pages/Math-6-8.aspx}

^‌

^Gamification^{Natural HR. (2016, November 22).}^{Brilliant gamification ideas to put the fun back into learning}^{. Natural HR. https://www.naturalhr.com/2016/11/22/brilliant-gamification-ideas-put-fun-back-learning/}

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^{‌Positive MathematicalMindsets and ProductiveStruggle}

^‌^{Growth Mindset: How to Normalize Mistake Making and Struggle in Class | KQED}^{. (2015, August 24). KQED. https://www.kqed.org/mindshift/41700/growth-mindset-how-to-normalize-mistake-making-and-struggle-in-class}

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