Monthly Archives: March 2020

Global Math Project can help during school closures.

Exploding Dots

Overview

MARCH 2020

Dear Friends,.We at the Global Math Project trust all is well with one and all, as best as can be, with health and precautions to remain healthy and with keeping the virus contained. It is affecting many, I know, not just physically, but also psychologically and financially..Many schools and universities across the globe are closed at present, and many educators are scrambling to conduct classes as best they can online. Very tricky..If you are here looking for some online options, consider looking at this document outlining a coherent self-guided Exploding Dots experience.EXPLODING DOTS for March 2020

Wishing everyone well..James, and the GMP team.***

A global phenomenon is underway. Pure math joy is sweeping the planet! Read about it here

Scroll down right now to the TOC to get started!

Over a 5.9 million students and teachers from 170 different countries and territories have experienced the uplifting joy of Exploding Dots

96.8% of teachers agreed or strongly agreed that Exploding Dots helped students see mathematics as more approachable, 96.6% as more enjoyable, 96.1% as making sense, and 93.1% as helping students be more confident in mathematics.

75.5% of teachers said that Exploding Dots changed their own perception of mathematics in some way with 97.7%  agreeing or strongly agreeing that Exploding Dots made mathematics more enjoyable, 97.3% as more approachable, and 96.0% as more understandable.

You too can enjoy the wonders of Exploding Dots!

LOW TECH: Enjoy the videos and written content below!

NO TECH: Download our teaching guides HERE.

HIGH TECH: Enjoy the wildly popular Exploding Dots WEB APP powered by Scolab. Count classroom KAPOWS!

Learn about the GLOBAL MATH PROJECT and all the math joy we offer the world!

Early support for the development of this work was graciously given by the Edward  E. Ford Foundation.

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Lessons

1.0 EXPERIENCE ONE: The Machines
1.1 Welcome
1.2 The 1←21←2 Machine
1.3 Other Machines
1.4 The 1←101←10 Machine
1.5 Wild Explorations
1.6 Solutions
2.0 EXPERIENCE TWO: Insight
3.0 EXPERIENCE THREE: Addition and Multiplication
4.0 EXPERIENCE FOUR: Subtraction
5.0 EXPERIENCE FIVE: Division
6.0 EXPERIENCE SIX: All Bases, All at Once: Polynomials
7.0 EXPERIENCE SEVEN: Infinite Sums
8.0 EXPERIENCE EIGHT: Decimals
9.0 EXPERIENCE NINE: Weird and Wild Machines
10.0 EXPERIENCE TEN: Unusual Mathematics for Unusual Numbers
11.0 EXPERIENCE 11: Grape Codes & Napier’s Checkerboard
12.0 MAKE SPACE with EXPLODING DOTS
13.0 Kids Explain Math to Kids
14.0 Web Apps and Tools: Where to Play with Machines Online
15.0 ChipChip: A Game Invented by Jim Propp and powered by Happy Numbers
100.0 Where did these ideas come from?
Return to List of Courses

Resources

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Books

Take your understanding to the next level with easy to understand books by James Tanton.BROWSE BOOKS

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Guides & Solutions

Dive deeper into key topics through detailed, easy to follow guides and solution sets.BROWSE GUIDES

Khan Academy

How can Khan Academy be used for remote learning during school closures?

Updated 3 days ago

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Hello parents and teachers,

With concerns growing over the coronavirus (COVID-19), we know many of you are making plans to keep learning going should your school need to close. As parents and teachers ourselves, we know there’s a lot on your minds, from health and safety to child care and jobs.

We want to do everything we can to support you.  We are a nonprofit organization with free educational resources. 

We are having daily (weekdays) 9 am PST/12 EST live streams on FacebookYouTube and Twitter for students, parents, and teachers navigating school closures.

Here are guides we’ve created for you:

Parents

Teachers 

Khan Academy is a free resource for students, teachers, and parents.

What is Khan Academy? We offer exercises, quizzes, and tests so students can practice and master skills, as well as instructional videos to help students learn or review material.

  • Khan Academy has a library of standards-aligned lessons covering kindergarten through early college math, grammar, science, history, AP® courses, SAT® preparation, and more.
  • Students can practice skills with exercises, quizzes, and mastery challenges and get immediate feedback and support.
  • Khan Academy is available in 40 languages
  • Students without laptops can access the Khan Academy website or use the Khan Academy app on smartphones.

Teachers get tools and reports designed specifically for them.

  • Teachers can easily assign students an entire course—Algebra 1 or AP Biology, for example—a specific unit, or a specific skill.
  • Teachers can easily track student progress with our reports.

School and teacher resources: How can you use Khan Academy?

We have several resources including a step-by-step Welcome Guide and a series of online videos featuring real teachers demonstrating how to use Khan Academy to assign instructional videos and practice skills and monitor student progress. All these resources are available at Teacher Essentials. Teachers can also join our #TeachWithKhan Facebook group.

How to get started:

  1. Create free accounts from our home page.
  2. Take a tour of our free content.
  3. Check out our teacher and parent resources, and learn how you can easily assign students a course to master.

More questions? Visit our help center.

Khan Academy Kids for Early Learners

If you have a child ages two to seven, we recommend our free app, Khan Academy Kids. In addition to building early literacy, reading, writing, language, and math skills, the app encourages creativity and builds social-emotional skills. It is 100% free, with no ads and no in-app purchases. Khan Academy Kids is available on iTunes, Google Play, and the Amazon App store.

Khan Academy is a nonprofit organization.

Our mission is to provide a free, world-class education to anyone, anywhere. We are closely monitoring the impact of COVID-19, and are here to assist communities with their learning needs. Check back with us in the coming days and weeks as we are updating our resources for you.

Sincerely,

The Khan Academy team

CBD Oil for Anxiety

Dr. Andrew Colucci

Dr. Andrew Colucci

Doctor of Medicine (M.D. cum laude) from Boston University School of Medicine in 2012 – Dr. Colucci is currently a radiologist in MADec 11, 20196 Min Read

On December 20, 2018, the president signed into law the Agriculture Improvement Act of 2018.[1] More commonly known as the Farm Bill of 2018, this act addresses a number of issues that pertain to our nation’s farmers, such as wetland conservation, environmental quality incentives, and food trade requirements.

However, one of the major changes this act has made to U.S. law is in regard to hemp. Specifically, it removed hemp from the Controlled Substances Act, effectively making fiber-containing marijuana plants no longer illegal under federal law.

This has prompted many Americans to consider the use of hemp oil, CBD oil, and other CBD products to help them better deal with mental health conditions like anxiety. Why is this such a concern?

Anxiety disorders afflict roughly 40 million adults in the United States according to the Anxiety and Depression Association of America (ADAA).[2] That makes this category of issues—which includes generalized anxiety disorder, panic disorder, social anxiety disorder—the most common mental health illnesses in the nation.

The ADAA adds that, though anxiety disorders are typically treatable, only one in three Americans (36.9 percent) with this mental health condition are actively engaged in some type of anxiety treatment. Research has found that feelings of shame, fear of being judged, not knowing where to go to obtain effective treatment, and not having the financial resources necessary to treat anxiety oftentimes keeps people from seeking care.[3]

Because of all of these reasons, people who want to experience less anxiety in their lives may choose to seek a natural remedy they can purchase over-the-counter that provides anti-anxiety effects. Studies have found that CBD is one such option.

CBD stands for cannabidiol, a chemical compound found within the flower of cannabis, which is another name for the marijuana plant.[4] Furthermore, this substance is thought to promote health based on the way it interacts with the body’s endocannabinoid system.

The University of California, Los Angeles (UCLA) explains that the goal of the endocannabinoid system is to maintain homeostasis.[5] This means that it strives to achieve a level of stability related to basic processes that impact things such as mood, sleep, immune function, reproduction, stress, metabolism, appetite, and more.

The way this system works is by endocannabinoids like CBD binding to specific receptors (namely, CB1 receptors and CB2 receptors) which are located throughout the body. When this occurs, it signals the nervous system to take the actions necessary to create a more stable level of health and wellness.

Many studies have found that one of the positive health effects that CBD provides is due to its anti-anxiety properties.

For instance, one study published in the Journal of Psychopharmacology subjected 40 subjects to a public speaking simulation, which is a situation that brings about anxiety in a lot of people. Each person was given either CBD, diazepam (a generic name for Valium), or ipsapirone (an anti-depressant and anti-anxiety medication) to see what effect, if any, these substances had on their levels of anxiety.[6]

Subjects were then evaluated using the Visual Analogue Mood Scale and State-trait Anxiety Inventory. According to these measures, researchers found that CBD decreased anxiety which was present after the public speaking simulation. Therefore, they concluded that this chemical compound offers anti-anxiety effects in stressful situations.

CBD can also potentially provide relief for other mental conditions typically characterized by high levels of anxiety, such as post-traumatic stress disorder (PTSD). For example, research published in Current Opinion in Psychology notes that when individuals with PTSD took CBD, they had positive effects related to reduced insomnia and modulated fear. The CBD also served as an anti-depressive and anti-anxiety treatment remedy.[7]

While both animal and human studies have connected CBD to the relief of anxiety, it has been somewhat unclear exactly how it creates this positive effect. So, in an attempt to learn more, one study looked at 10 “treatment-naïve patients” with social anxiety disorder. [8]

During the initial double-blind session, these first-time treatment seekers were given either 400 mg of CBD or a placebo. Then, during a second session of the study, the same participants were given the opposite (subjects who had previously received CBD were given a placebo and vice versa).

After analyzing responses in the study subjects’ brains, researchers concluded that CBD appears to help reduce anxiety because of the way it affects limbic and paralimbic areas of the brain.

Research has also found that CBD can sometimes provide additional health benefits beyond those associated with reducing anxiety. For instance, some studies have noted how it can potentially provide relief from chronic pain conditions.

One such piece of research involved 177 cancer patients who were having difficulties finding pain relief, even after taking opioid drugs.[9] Subjects in this study were divided into three groups.

One group was given a THC extract (THC stands for tetrahydrocannabinol, the psychoactive property commonly associated with the marijuana plant), one was given a THC extract with CBD, and the third group received a placebo.

When compared to the placebo, the group that received THC with CBD had two times as many subjects who reported a pain reduction of 30 percent or more after taking these two extracts.

Research has also found that CBD provides positive effects related to blood pressure. In one case, when healthy male volunteers were treated with a single, 600-mg dose of CBD, they experienced lower systolic blood pressures and lower blood pressure in times of stress than those who received a placebo.[10]

Other studies have found that extracts taken from the marijuana plant also offer anti-inflammatory benefits, which is why medical marijuana is often a consideration by people who suffer from inflammation-based health conditions.[11]

Because CBD research is still in its infant stage, with many of the studies being conducted in recent years, there is still a lot to learn about what impact CBD has on specific mental and physical health conditions.

That said, the U.S. National Library of Medicine reports that more clinical trials are scheduled to help us learn and understand more about how CBD impacts inflammation, anxiety, and other medical conditions.[12]

One of the biggest concerns people have when using CBD oil for anxiety is whether it will result in them feeling stoned or high. However, as CNBC reports, unlike THC, CBD does not create the intoxicating type of effects typically associated with marijuana usage.[13]

Additionally, though many of CBD’s effects are positive in nature, some people have reported experiencing not-so-pleasant side effects when taking products containing this particular chemical compound.

For instance, research has found that CBD usage can sometimes cause tiredness, diarrhea, and changes in appetite.[14] Some users have also reported experiencing dry mouth (also referred to as “cotton mouth”) after taking hemp oil products.[15]

Until more research can be conducted, Harvard Medical School suggests that individuals considering taking CBD oil for anxiety and other health conditions first consult with a medical professional or other healthcare provider.[16]

Medical News Today adds that it’s also important to realize that, when drugs have not been regulated by the Food and Drug Administration (FDA)—which is not currently the case with CBD oils—it’s difficult to determine whether they are safe or effective.[17]

For this reason, it’s important to consider how to practice safe, yet effective usage, especially if you’re using products such as CBD tinctures or vape pens for the very first time.

According to Project CBD, this requires having a “less is more” philosophy, starting out with low doses and working your way up (if necessary), and sometimes choosing a full-spectrum CBD oil with small amounts of THC as this typically provides a therapeutic effect.[18]

If you’re considering using CBD oil for anxiety, it helps to also keep in mind that legality of this substance still varies based on where you live. This is because state laws are different in regard to this particular topic.

To help with this, Americans for Safe Access offers an online, interactive map at https://www.safeaccessnow.org/state_and_federal_law. Simply click on your state of residence and you are provided information and links to resources related to CBD usage, medical marijuana regulations, and more.

This can help keep your anxiety to a minimum if you’re concerned about legal CBD use.

[1] “Agriculture Improvement Act of 2018.” House of Representatives. https://docs.house.gov/billsthisweek/20181210/CRPT-115hrpt1072.pdf

[2] “Facts & Statistics.” Anxiety and Depression Association of America. https://adaa.org/about-adaa/press-room/facts-statistics

[3] Goetter E.M. et al. “Barriers to Mental Health Treatment Among Individuals with Social Anxiety Disorder and Generalized Anxiety Disorder.” Psychological Services. Aug 2018. https://psycnet.apa.org/doiLanding?doi=10.1037%2Fser0000254

[4] “What is CBD?” Project CBD. https://www.projectcbd.org/about/what-is-cbd

[5] “Human Endocannabinoid System.” UCLA Health. https://www.uclahealth.org/cannabis/human-endocannabinoid-system

[6] Zuardi, A.W. et al. “Effects of Ipsapirone and Cannabidiol on Human Experimental Anxiety.” Journal of Psychopharmacology. Jan 1993. Doi: 10.1177/026988119300700112. https://journals.sagepub.com/doi/abs/10.1177/026988119300700112

[7] Loflin, M et al. “Cannabinoids as Therapeutic for PTSD.” Current Opinion in Psychology. Apr 2017;14:78-83. Doi: 10.1016/j.copsyc.2016.12.001. https://www.sciencedirect.com/science/article/pii/S2352250X16302342

[8] Crippa J.A.S. et al. “Neural Basis of Anxiolytic Effects of Cannabidiol (CBD) in Generalized Social Anxiety Disorder: A Preliminary Report.” Journal of Psychopharmacology. Sept 2010. Doi: 10.1177/0269881110379283. https://journals.sagepub.com/doi/abs/10.1177/0269881110379283

[9] Johnson J.R. et al. “Multicenter, Double-Blind, Randomized, Placebo-Controlled, Parallel-Group Study of the Efficacy, Safety, and Tolerability of THC:CBD Extract and THC Extract in Patients with Intractable Cancer-Related Pain.” Journal of Pain and Symptom Management. Feb 2010; 39(2):167-179. Doi: 10.1016/j.jpainsymman.2009.06.008. https://www.sciencedirect.com/science/article/pii/S0885392409007878

[10] Jaddon, K et al. “A Single Dose of Cannabidiol Reduces Blood Pressure in Healthy Volunteers in a Randomized Crossover Study.” JCI Insight. Jun 2017;2(12):e93760. Doi: 10.1172/jci.insight93760. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5470879/

[11] Zurier R.B. “Prospects for Cannabinoids as Anti-Inflammatory Agents.” Journal of Cellular Biochemistry. Dec 2002. Doi: 10.1002.jcb.10291. https://onlinelibrary.wiley.com/doi/full/10.1002/jcb.10291

[12] “Cannabidiol for the Treatment of Anxiety Disorders: An 8-Week Pilot Study.” ClinicalTrials.gov. https://clinicaltrials.gov/ct2/show/NCT03549819

[13] “Huddleston Jr., T. “Why People Love CBD – The Cannabis Product That Won’t Get You High.” CNBC. Nov 10, 2018. https://www.cnbc.com/2018/11/09/what-is-cbd-these-popular-cannabis-products-wont-get-you-high.html

[14] Johnson, J. “Everything You Need to Know About CBD Oil.” Medical News Today. Jul 27, 2018. https://www.medicalnewstoday.com/articles/317221.php

[15] “Unexpected Side Effects of Hemp Oil.” Functional Remedies. Apr 21, 2018. https://functionalremedies.com/blogs/news/unexpected-side-effects-of-hemp-oil

[16] Grinspoon, P. “Cannabidiol (CBD) – What We Know and What We Don’t.” Harvard Health Publishing. Aug 24, 2018. https://www.health.harvard.edu/blog/cannabidiol-cbd-what-we-know-and-what-we-dont-2018082414476

[17] Johnson, J. “Everything You Need to Know About CBD Oil.” Medical News Today. Jul 27, 2018. https://www.medicalnewstoday.com/articles/317221.php

[18] Lee, M. “Cannabis Dosing 101.” Project CBD. May 16, 2018. https://www.projectcbd.org/medicine/cannabis-dosing-101