## What resources are available for a high algebra achiever to accelerate their growth in understanding?

This is relevant to parents and educators alike. This is a draft list, and I would love your feedback on it as well as additions you might suggest in the comments.

### 1. POW (Problems of the Day/Week/Month #Problemoftheweek)

GOOD for motivated learners who want a challenge.

BAD for reluctant learners who would rather do something else.

__https://www.nctm.org/pows/__(NCTM)

http://mathforum.org/library/problems/ (List)

http://www.moems.org/zinger.htm (Middle School)

http://pleacher.com/handley/probweek/ (teacher archive)

http://mathcounts.org/resources/problem-of-the-week

http://krazydad.com/ (If you like Sudoku/Ken-ken...)

http://www.math.purdue.edu/pow/ (Universities have higher difficulty)

I really liked the NCTM Calendar problems when I was ~7th grade. Unfortunately, they require NCTM membership to access. I also think that my math club in high school, involvement in tournaments, and acadeca helped to support my mathematical development. Below I list two of the current social options to support learning (Communities and Competitions) as well as two newer supports (Practice Engines and Games).

GOOD for social learners whose experience a supportive environment.

BAD when the learner and community have different goals or there is insufficient support.

Find competitions

http://en.wikipedia.org/wiki/List_of_mathematics_competitions

http://www.artofproblemsolving.com/Wiki/index.php/List_of_United_States_middle_school_mathematics_competitions (Or high school if you'd like)

Look at past exams to determine difficulty

http://www.artofproblemsolving.com/Wiki/index.php/AMC_Problems_and_Solutions

http://mathcounts.org/past-competitions

http://www.moems.org/sample.htm

https://sumo.stanford.edu/smt/

http://www.imo-official.org/problems.aspx

GOOD for tracking and individualization of procedural skill practice.

BAD for conceptual understanding and higher order thinking skills.

I really hope Duolingo make a move into the math problem space, because what they did for language learning is admirable and perhaps applicable.

http://mathcounts.org/resources/problem-of-the-week

http://krazydad.com/ (If you like Sudoku/Ken-ken...)

http://www.math.purdue.edu/pow/ (Universities have higher difficulty)

I really liked the NCTM Calendar problems when I was ~7th grade. Unfortunately, they require NCTM membership to access. I also think that my math club in high school, involvement in tournaments, and acadeca helped to support my mathematical development. Below I list two of the current social options to support learning (Communities and Competitions) as well as two newer supports (Practice Engines and Games).

## 2. Communities (Clubs, Makerspaces, MOOCs, social media...)

GOOD for social learners whose experience a supportive environment.

BAD when the learner and community have different goals or there is insufficient support.

Find communities

School clubs (Academic decathlon, math, robotics,

cryptography...)

Hacker spaces

Makerspaces

Afterschool programs

Reddit, youtube or other forums

MOOCS (coursera, novoed, edx, udacity, udemy,

iTunesU, MIT OCW...)

Robotics clubs

Coding clubs or programs

Math Circles - http://www.mathcircles.org/

Cyber Patriots - https://www.uscyberpatriot.org/

MESA - http://mesa.ucop.edu/

GOOD for motivated and competitive learners who want to push their limits.

BAD for social learners who dislike competition or underachievers who need more support.

School clubs (Academic decathlon, math, robotics,

cryptography...)

Hacker spaces

Makerspaces

Afterschool programs

Reddit, youtube or other forums

MOOCS (coursera, novoed, edx, udacity, udemy,

iTunesU, MIT OCW...)

Robotics clubs

Coding clubs or programs

Math Circles - http://www.mathcircles.org/

Cyber Patriots - https://www.uscyberpatriot.org/

MESA - http://mesa.ucop.edu/

## 3. Competitions (AMC, Mathcounts, University competitions...)

GOOD for motivated and competitive learners who want to push their limits.

BAD for social learners who dislike competition or underachievers who need more support.

Find competitions

http://en.wikipedia.org/wiki/List_of_mathematics_competitions

http://www.artofproblemsolving.com/Wiki/index.php/List_of_United_States_middle_school_mathematics_competitions (Or high school if you'd like)

Look at past exams to determine difficulty

http://www.artofproblemsolving.com/Wiki/index.php/AMC_Problems_and_Solutions

http://mathcounts.org/past-competitions

http://www.moems.org/sample.htm

https://sumo.stanford.edu/smt/

http://www.imo-official.org/problems.aspx

I participated in the AHSME and a few local university competitions while in high school and enjoyed being part of a team in many of the school competitions. The next categories are things I wish existed when I was a kid, and areas where innovation is creating opportunity.

## 4. Practice Engines (Khan, IXL, Alcumus...)

BAD for conceptual understanding and higher order thinking skills.

Find Practice engines
http://www.artofproblemsolving.com/liz/Alcumus/index.php (Art of Problem Solving is a much larger effort addressing the overall question)
https://www.khanacademy.org has mastery missions and can be quite fun
http://www.sumdog.com/ (Gamified practice elementary skills)
https://www.sokikom.com/ (Gamified practice elementary skills) IXL, ALEKS, EnableMath, Pearson MyLab are paid products (Tons of these...) |

## 5. Virtual Games

GOOD if the game is well designed (intrinsic integration) and aligns with learner goals.

BAD if the game is poorly designed (Extrinsic integration) or doesn't align with goals.

FREE

http://www.wuzzit-trouble.com/ (My favorite)

http://www.mathsgames.com/fraction-games_refraction.html (Fraction operations)

https://www.mathbreakers.com/

PAY

http://www.dragonboxapp.com/

http://motionmathgames.com/parents/

http://www.greenglobs.net/

Find Simulations and Interactives

https://teacher.desmos.com/

http://nlvm.usu.edu/en/nav/vlibrary.html

http://illuminations.nctm.org/Games-Puzzles.aspx

As you can imagine, this only scratches the surface. My hope is that I have uncovered some nuggets to get you started. For each broader category you can follow-up with your own search (google, blogstalking, twitter, forumcrawling...) and find an infinitude of cognitive overload. If you come across something great, please share it!

Thank you for your work.

Peace be with you,

Evan