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https://www.amazon.com/Mathematics-Human-Flourishing-Francis/dp/0300258518/ref=mp_s_a_1_1?adgrpid=102288545012&gclid=EAIaIQobChMIxfixpYnU-AIVbsLCBB0T3QK3EAAYASAAEgJzwvD_BwE&hvadid=421311934935&hvdev=m&hvlocphy=9031169&hvnetw=g&hvqmt=e&hvrand=15105404905687885058&hvtargid=kwd-779259347501&hydadcr=13951_10958627&keywords=mathematics+for+human+flourishing&qid=1656554209&sr=8-1

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Take a deep dive into the five practices for facilitating productive mathematical discussions

Enhance your fluency in the five practices―anticipating, monitoring, selecting, sequencing, and connecting―to bring powerful discussions of mathematical concepts to life in your middle school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively.

Video excerpts vividly illustrate the five practices in action in real middle school classrooms

Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion

Prompts guide you to be prepared for and overcome common challenges

Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.

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The Five Practices in Practice [Middle School]: Successfully Orchestrating Mathematics Discussions in Your Middle School Classroom (Corwin Mathematics Series)

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The Five Practices in Practice [Middle School]: Successfully Orchestrating Mathematics Discussions in Your Middle School Classroom (Corwin Mathematics Series) [Smith, Margaret (Peg) S., Sherin, Miriam Gamoran] on Amazon.com. *FREE* shipping on qualifying offers.

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In this lesson, students compare data plans from different cell phone companies to determine which is a better deal for different amounts of data usage. The plans that are chosen can be represented as linear functions, the cost of the phone plus a monthly charge for data.

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Excellent Tik Tok Channel on Cool Math Strategies

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Excellent Tik Tok Channel on Cool Math Strategies

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we want to do more than survive: abolitionist teaching and the pursuit of educational freedom

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education - parent participation - united states

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education/student life & student affairs

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educational equalization - united states

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education; teaching; learning; education books; philosophy; feminism; self help; biography; psychology; american history; college admissions; ethics; antiracist books; teaching books; books for teachers; abolition; books about race; antiracism; ethnicity; climate change; christian; democracy; nature; design; basketball; poverty; martial arts; society; sociology; gangs; child development; geology; body; leadership; chemistry; hackers; 2016 election; evolution; activism; social; social work; artificial intelligence; coaching; inequality

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education/student life & student affairs

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We Want to Do More Than Survive: Abolitionist Teaching and the Pursuit of Educational Freedom

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We Want to Do More Than Survive: Abolitionist Teaching and the Pursuit of Educational Freedom [Love, Bettina] on Amazon.com. *FREE* shipping on qualifying offers. We Want to Do More Than Survive: Abolitionist Teaching and the Pursuit of Educational Freedom

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Prologue: Data in a Time of Pandemic

PART I: WHY STREET DATA, WHY NOW?

Chapter 1: Leading for Equity: Another World Is Possible

Chapter 2: No Shortcut: Avoiding Equity Traps and Tropes, by Dr. Jamila Dugan

PART II: CHOOSE THE MARGINS

Chapter 3: Flip the Dashboard: Street Data Drives Equity

Chapter 4: Pound the Pavement: Digging Into the Levels of Data

PART III: DEEPEN THE LEARNING

Chapter 5: Redefine "Success": Street Data and the Pedagogy of Voice

Chapter 6: Build Coherence: Focus, Holism, and Well-Being

Chapter 7: Make Learning Public: Valuing Teacher Voices, by Carrie Wilson

PART IV: TRANSFORM THE CULTURE

Chapter 8: Embrace Vulnerability: Moving Through Street Data Cycles

Chapter 9: Calling Folks In and Up to Equity: Street-Level Conversations

Epilogue: The Journey Toward Liberation

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Prologue: Data in a Time of Pandemic PART I: WHY STREET DATA, WHY NOW?

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The Cube Rule

of Food Identification

as seen in

first, we asked:

are hot dogs sandwiches?

then,

the wars began

The Sandwich
Alignment Chart

tried to bring order

but only chaos ensued

then spake

the holy prophet

@Phosphatide

blessing us with

the grand unified theory

of food identification

identify any food

purely by the location

of structural starch

④ Sushi

popular examples

falafel wrap

pigs in a blanket

enchilada

⑦ Cake

popular examples

lasagna

big mac

flapjacks

Muffins

or other blocks of starch

are type ①, toast

(in raw, unsliced form)

Rice

You are free to interpret the
nature of rice however you wish.

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Identify your food based on the location of structural starch. Is a hot dog a sandwich? No, it's clearly a taco.

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Powerful Teaching: Unleash the Science of Learning empowers educators to harness rigorous research on how students learn and unleash it in their classrooms. In this book, cognitive scientist Pooja K. Agarwal, Ph.D., and veteran K-12 teacher Patrice M. Bain, Ed.S., decipher cognitive science research and illustrate ways to successfully apply the science of learning in classrooms settings. This practical resource is filled with evidence-based strategies that are easily implemented in less than a minute―without additional prepping, grading, or funding!

Research demonstrates that these powerful strategies raise student achievement by a letter grade or more; boost learning for diverse students, grade levels, and subject areas; and enhance students' higher order learning and transfer of knowledge beyond the classroom. Drawing on a fifteen-year scientist-teacher collaboration, more than 100 years of research on learning, and rich experiences from educators in K-12 and higher education, the authors present highly accessible step-by-step guidance on how to transform teaching with four essential strategies: Retrieval practice, spacing, interleaving, and feedback-driven metacognition.

With Powerful Teaching, you will:

Develop a deep understanding of powerful teaching strategies based on the science of learning

Gain insight from real-world examples of how evidence-based strategies are being implemented in a variety of academic settings

Think critically about your current teaching practices from a research-based perspective

Develop tools to share the science of learning with students and parents, ensuring success inside and outside the classroom

Powerful Teaching: Unleash the Science of Learning is an indispensable resource for educators who want to take their instruction to the next level. Equipped with scientific knowledge and evidence-based tools, turn your teaching into powerful teaching and unleash student learning in your classroom.

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powerful teaching: unleash the science of learning

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education / teaching methods & materials / general

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education/teaching methods & materials - general

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methods of instruction and study (general)

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education / teaching methods & materials / general

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education/teaching methods & materials - general

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Powerful Teaching: Unleash the Science of Learning

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Powerful Teaching: Unleash the Science of Learning [Agarwal, Pooja K., Bain, Patrice M.] on Amazon.com. *FREE* shipping on qualifying offers. Powerful Teaching: Unleash the Science of Learning

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What method would you use to solve this problem? 🤔 #mathically #mathtutor #fyp #tiktokmath #testprep #mathtrick #mathhelp #mathbasics

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Does anyone else calculate percentages this way? 🤔 #mathically #fyp #tiktokmath #mathtutor #mathtrick #mathbasics #testprep

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New TikTok video: Integer subtraction without relying on "two negatives make a positive"

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New TikTok video: Integer subtraction without relying on "two negatives make a positive" https://t.co/5PVBomttbv

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Something went wrong, but don’t fret — let’s give it another shot.

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New TikTok video: Integer subtraction without relying on "two negatives make a positive" https://t.co/5PVBomttbv

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New TikTok video: Integer subtraction without relying on "two negatives make a positive" https://t.co/5PVBomttbv

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New TikTok video: Integer subtraction without relying on "two negatives make a positive"

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NASA Mathematician, Recipient of Nations Highest Civilian Honor

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This was the original blog post. I'm no longer updating this page, but absolutely still updating the list. The most up to date list is here. Resource list here.

The Short Version:

We as math teachers tend to only talk about white male mathematicians.

Most of my students don't look like that, and thus, they have few mathematical role models they can identify with.

Take 10-15 minutes a week to research (read Wikipedia, that's all you need) a not-old-dead-white-dude mathematician, and then take 5 minutes in class to tell your students about them. Include a picture. It's worth it, I swear.

Here is the presentation from NCTM Regionals in Chicago
Here is a SEARCHABLE SPREADSHEET LIST of mathematicians
Explanatory Blogs

I've blogged at MTMS about this project in far more detail than I have here. Check out those four posts below.
Post #1 The Mathematician Project Post #2 How to Enact the Mathematician Project Post #3 What I Learned About My Students Post #4 Extensions of the Mathematician Project
For the super excited, you can read the paper I wrote about the project below.
Mathematicians Paper
List of Mathematicians (Or use this spreadsheet)
Men (alphabetical by last name) Women (alphabetical by last name)
This book is a great resource for many of these women.
Trans Mathematicians FYI, I should say that I cringed to use the labels "Men" and "Women" because of a former student who has graciously educated me more about transgender and non-binary people, but I recognize that those labels are still helpful as categories.
General Resources for Researching Mathematicians
Lego NASA Women Women of NASA to be Immortilized in Lego Form Biographies of Women Mathematicians Black Heroes of Mathematics Black Mathematical Excellence Grandma Got STEM Intersections - Poetry and Mathematics Math Mentoring Project Mathematically Gifted and Black
Mathematicians of the African Diaspora (h/t Keith Devlin)
Macarthur Fellows
Mathematicians Born/Died on this Day This has a huge number of mathematicians. You'll have to seek a bit for the non-white-male ones, but you can look at the Birthplace Index to help out. (h/t Andrew Thomas)

Math History Course Notes courtesy of commenter below. Includes Sophie Germain.
"On Being a Black Female Math Whiz During the Space Race" NYTimes
Beyond Banneker: Black Mathematicians and the Paths to Excellence by Erica N Walker
African American Registry Mathematicians of the African Diaspora Special Articles
I have no good visuals for this project. The best I've got is this map that 1) Is scaled to accurately represent area 2) Gets pins for the location of each mathematician we introduce to class.

I also have added a Hidden Figures poster with tags on each of the women.

Each of which I like and students enjoy. But Brian (on twitter @_b_p and blogging at https://lazyocho.com/) has made some excellent printable posters to put up and he's been kind enough to share them here! What a nice guy!
Beyond_White_Dudes_Mathematicians

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The Mathematicians Project: Mathematicians Are Not Just White Dudes

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This was the original blog post. I'm no longer updating this page, but absolutely still updating the list. The most up to date list is here. Resource list here. What is the Mathematicians Project? The Short Version: We as math teachers tend to only talk about white male mathematicians.

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The Official Website of Dr. Kristopher J. Childs

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February is Black History Month, a time to celebrate and honor the generations of African American men and women and their struggle to achieve citizenship and equal rights in American society.

Black History Month provides a special opportunity for students to explore and learn more about famous African American mathematicians and their contributions to our culture and modern institutions.

When it comes to STEM classes, one of the best ways you can celebrate Black History Month in your classroom is by sharing the contributions of famous African American Mathematicians that you and your kids may not be familiar with (but definitely should!).

Why? Because most lists of famous mathematicians in history focus heavily on men like Isaac Newton, while the stories of so many other mathematicians from various walks of life go untold.

Some ideas for celebrating these famous African American Mathematicians include focusing on a different individual each day, assigning individuals for a famous African American Mathematician research assignment, or by sharing this article on your classroom's bulletin board.

And while you can share this list with your students and admire the accomplishments of these incredible mathematicians any time of the year, the month of February provides a focused opportunity to provide your students with deeper historical context and make connections between the past, the present, and the future.

11 Famous African American Mathematicians

1.) Benjamin Banneker (1731-1806)

Banneker, a mostly self-educated man in mathematics and astronomy, is best known for building America's first clock-a wooden device that struck hourly. Using his rich understanding of trigonometry and astronomy, he accurately predicted a solar eclipse in 1789.

Banneker was also a passionate civil rights advocate. In 1791, he famously penned a letter to then secretary of state Thomas Jefferson asking for his help in improving conditions for Africans living in the United States, which highly impressed Jefferson and convinced many that blacks were intellectually equal to whites.

He died at age 74 on October 9, 1806.

2.) Fern Hunt (1948-Present)

Fern Hunt is best known for her work in applied mathematics and mathematical biology. Throughout her great career, she has been involved with biomathematics, patterns in genetic variation, and chaos theory.

She currently works as an educator and presenter with the aim of encouraging women and minority students to pursue graduate degrees in mathematics and other STEM fields.

Hunt is a strong support of student choice, following one's passion, and surrounding yourself with a strong support system, which are all factors that she credits to her own personal success in mathematics.

3.) Mark Dean (1957-Present)

Dean is a famous computer scientist and engineer, credited with assisting in the development of several breakthrough computer technologies for IBM.

He invented the first gigahertz computer chip and co-invented the Industry Standard Architecture System for computing, which allows for common plug-ins such as personal printers and modems.

Dean was inducted into the National Inventor's Hall of Fame in 1997

4.) Elbert Frank Cox (1895-1969)

In 1925, Elbert Frank Cox was the first black man to earn a Ph.D in mathematics not only in the United States, but in the entire world.

After receiving this honor, Cox became a professor of mathematics at Howard University in Washington D.C. and eventually became chairman of the Mathematics Department in 1957. He would hold this role with great esteem until his retirement in 1965.

In 1975, the Howard University Mathematics Department established the Elbert F. Cox Scholarship Fund for undergraduate math majors to encourage young black students to pursue degrees in mathematics.

5.) Katherine Johnson (1918-2020)

Katherine Johnson was the main character of the critically acclaimed film Hidden Figures. Her contributions in the field of orbital mechanics, alongside fellow female African American mathematicians Dorothy Vaughan and Mary Jackson, were critical to the United States' success in putting astronaut John Glenn into orbit in 1962.

During her 35-year career at NASA, she held a reputation for being a master of complex manual calculations and helped pioneer the use of computer programming for performing complex calculations.

She was awarded the Presidential Medal of Freedom by President Barack Obama in 2015.

Video: Katherine Johnson: The Girl Who Loved to Count by NASA

6.) Valerie Thomas (1943-Present)

Valerie Thomas is a scientist and inventor best known for inventing the Illusion Transmitter in 1980. This technology was the first of its kind in the field of 3D-imagery and is the basis for modern 3D-televisions, video games, and movies.

From 1964 -1995, Thomas worked for NASA, developing real-time computer data systems and managing the team that developed the Landsat technology that supported the first satellite to transmit images from outer space.

Today, she continues to serve as a mentor for youth through the Science Mathematics Aerospace Research and Technology and National Technical Association.

"I always look forward to getting my Mashup Math newsletter email every week. I love the free activities!" -Christina R., 5th Grade Math Teacher, Dallas, TX Do YOU want free math resources, lesson activities, and puzzles and games for grades 1-8 in your inbox every week? Join our mailing list and start getting tons of free stuff!

7.) Lonnie Johnson (1949-Present)

Lonnie Johnson is a famous inventor, mathematician, and engineer who holds over 120 patents. He served as an engineer for the U.S. Air Force, where he worked on developing the stealth bomber, and later for NASA's Jet Propulsion program.

He is best known for inventing the Super Soaker water gun while working at the U.S. Air Force, a product which has grossed nearly $1 Billion since 1990. He also invented a "toy projectile gun," which eventually became the Nerf Gun.

8.) John Urschel (1991-Present)

John Urschel excelled in both mathematics and playing football at Penn State University and earned bachelor's and master's degrees in mathematics. In 2014, Urschel was drafted from Penn State into the NFL by the Baltimore Ravens, where he played his entire NFL career before retiring at age 26 to further pursue mathematics.

He is currently working towards his Ph.D. in mathematics from MIT where some of his mathematical fields of interest include graph theory, numerical linear algebra, and machine learning.

9.) Euphemia Lofton Haynes (1890-1980)

Euphemia Lofton Haynes is famous for being the first African American woman to earn a Ph.D. in mathematics, which she achieved from the Catholic University of America in 1943.

After earning her Ph.D., she embarked on a 47-year career of advocacy for students of color, improving schools, and overcoming the harmful effects of racial segregation. During this time, she was also a math professor at the District of Columbia Teachers College, where she managed the Division of Mathematics and Business Education department.

Haynes died at the age of 89 on July 25, 1980.

10.) Annie Easley (1933-2011)
Annie Easley is famous NASA computer and rocket scientist and mathematician who contributed to several space programs, inspired others through her participation in numerous outreach programs, and broke down barriers for both women and African Americans in STEM. Most notably, she was a leading member of the team that developed the breakthrough Centaur rocket, which opened the door for the launch of many of NASA's most important missions.

Easley was known for being a "human computer" and always fought to do her best in the face of adversity. In a 2001 interview she shared that "I just have my own attitude. I'm out here to get the job done, and I knew I had the ability to do it, and that's where my focus was."

11.) Mae Carol Jemison (1956-Present)

Mae Carol Jemison is a mathematician, engineer, physician, and astronaut. In 1992, she became the first African American woman to visit space when she went into orbit aboard NASA's Space Shuttle Endeavour.

Jemison also spent time as a general practice physician and in the Peace Corps before joining NASA's astronaut program.

She continues to be involved in several initiatives and recently served on the council for an initiative called " Science Matters" which aims to encourage young children to understand and pursue careers in STEM.

Famous Black Mathematicians Video and Free PDF

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11 Famous African American Mathematicians You Should Know About - Mashup Math

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About

About Us

Whiteboard.fi is created by Sebastian Laxell and Jaakko Virtanen, and is run by Digital Teaching Tools Finland Ltd - a Kahoot! company. We have experience in teaching and IT-management - so we know the struggle in finding good digital tools.

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Whiteboard.fi - Free online whiteboard for teachers and classrooms

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Whiteboard.fi is an instant formative assessment tool for your classroom, providing you with live feedback and immediate overview over your students.

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US National Debt Clock : Real Time U.S. National Debt Clock : DOGE Clock

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The Official Website of Dr. Kristopher J. Childs

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Math Education Teacher Resources Common Core Cool Video Lesson Free Worksheets Elementary Middle High School Homeschool Algebra Geometry Lessons Help Tutor Homework

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Use logic to solve visual, interactive mathematical puzzles. Create your own puzzles to share with your friends or the SolveMe Community.

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Link: https://docs.google.com/presentation/d/1o5urzP33tdt0al5QeFpjg_UlR0eXODGIAmk28Jm0b88/edit?usp=sharing

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https://mathequalslove.blogspot.com/2020/08/digital-activities-repository.html?m=1

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Polypad - Fractions bars and Algebra Tiles

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Polypad - Fractions bars and Algebra Tiles

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search

Enriching mathematics for all learners

A free-to-use collection of mathematics activities, lessons and problems designed to nurture curious, resourceful and confident learners of mathematics. Produced by The University of Cambridge.

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The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions,interactivities,games,articles.

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This site was created to fill a need for finding ready-to-use slides that can easily be copied and pasted into my daily meeting slide decks for distance learning. I wanted to have a hub of these engaging resources that I could access for distance learning as well as when we return to school. It's my favorite way to start the day with my students!

*Note: These slides were modified to fit widescreen, 16:9. Feel free to use as is or File > Make a Copy to edit

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This site was created to fill a need for finding ready-to-use slides that can easily be copied and pasted into my daily meeting slide decks for distance learning. I wanted to have a hub of these engaging resources that I could access for distance learning as well as when we return to school.

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Workshop Tasks - Complex Instruction Consortium

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06_13 Lawsuits + Math - Exponential Regression Task

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Collection of the Best Mathematics and Science Stuff | Abakcus

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Abakcus is the best curation site for math and science. We work hard and curate the best articles, books, products, videos, and projects.

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Please enable JavaScript in your browser to access Mathigon.

Platonic Solids

Platonic Solids are the most regular polyhedra: all faces are the same regular polygon, and they look the same at every vertex. The Greek philosopher Plato discovered that there are only five solids with these properties. He believed that the they correspond to the four ancient Elements, Earth, Water, Air and Fire, as well as the Universe.

Archimedean Solids

Archimedean Solids, like the Platonic ones, consist of regular Polygons and look the same at every vertex. However the faces are multiple different regular polygons. There are 13 Archimedean Solids, two of which are reflections of each other. Explore 3D models on Polypad...

Further Reading

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Explore the beautiful world of Origami and mathematics. Be amazed by stunning photographs, try our folding instructions, or learn about the mathematical background.

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Learn about the countless hidden uses and applications which mathematics has in everyday life: From weather prediction to medicine, video games and music…

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Need a group game for 30 kindergarteners, indoors, in a pinch? Trying to convince 5th grader boys to stop hogging the ball? We have you covered.

Explore hundreds of games by group size, available space and equipment, appropriate ages, and developmental skills. Our games are designed to keep all kids playing. You will see lots of games where everyone is "it", ground-rules that keep games manageable for recess supervisors, skill-building variations on students' favorite sports, and other adaptations that make games fun and inclusive for everyone.

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Need a group game for 30 kindergarteners, indoors, in a pinch? Trying to convince 5th grader boys to stop hogging the ball? We have you covered. Explore hundreds of games by group size, available space and equipment, appropriate ages, and developmental skills. Our games are designed to keep all kids playing.

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A virtual form of Sara VanderWerf's Name Tents: https://www.saravanderwerf.com/week-1-day-1-name-tents-with-feedback/ Name tag from Mr. Meier: https://teacher.desmos.com/activitybuilder/custom/5ece989e07c2df0ad5af76eb Thank you to Kristen Fouss for the activity!

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This year, I'm writing a book about mathematical games. For my research, I've been reading old collections, scrounging Board Game Geek, hosting play-test parties, attending game design conventions, and conscripting students as guinea pigs (which works much better than the reverse: conscripting guinea pigs as students).

Nowhere in all my research have I come across a mind quite like that of Walter Joris.

Walter generates games, puzzles, and pencil-and-paper experiments with such intensity and regularity that he must be a kind of pulsar: some heretofore unknown astronomical object, emitting what I admiringly call Joris Radiation.

You and I see right angles. Walter sees a doodle game.

You and I see paper. Walter sees the Incredible Paperman.

You and I see a cube. Walter sees... well, to be honest, I don't know what Walter sees, but I can't help wanting to see it too.

His book 100 Strategic Games for Pen and Paper is the most bizarre and marvelous thing I've read this year. "Nearly all the games have been invented by me," he writes in the introduction, and it's true: his fingerprints are on every page.

From those hundred, I picked out half a dozen to share here. Each is for two players; each requires only pens and paper; and each has surprising strategic depths to plumb.

May the wondrous light of Joris Radiation shine upon you in these strange times!

( See the bottom of the post for an interview with Walter.)

1.
Magical Squares

In an actual magic square, every row, column, and diagonal has the same sum. In Walter's game, you won't achieve that, but the goal is to get as close as possible.

Each player begins with a blank square, then secretly places numbers in the four corners. You may use whatever numbers you like (including repeats).

Then, you reveal your squares to each other. Now, whatever numbers your opponent put in her corners, you must put in your edges ( in whatever order you like).

Finally, you can choose whatever number you like for the center.

The goal: have as many rows, columns, and diagonals as possible sharing the same sum.

A pair with the same sum scores 1 point; a trio scores 2 points; a quartet scores 3 points; and so on. (This sample game ended in a 3-3 tie.)

What happens if you start with identical numbers in your corners (e.g., 7, 7, 7, 7)? What if you pick radically different numbers (1, 10, 100, 1 million)? Is there a best strategy? If so, is it deterministic or probabilistic? The field is open for exploration!

This is, in one sense, a standard game of territory control. It's like dozens of others I've encountered. Yet I can't get it out of my head. It's something about those juicy grapes, the silly theme, and the lovely drawings that result.

First, draw a bunch of grapes. Make it clear which grapes share a border.

Then, by turns, each player picks a grape on which their "fly" begins, and marks it with a colored dot.

Then, take turns moving. (Whoever placed their fly second should begin.)

On each move, your fly consumes the grape it's on (shown by fully coloring in the grape), then moves to an adjacent grape.

Whoever winds up unable to move, because there are no adjacent grapes available, is the loser. Here, three more moves have been made:

The strategy seems straightforward, but the grapes can trick the eye, lending an element of suspense. (You may have less territory left than you think!) Also, whereas most pencil-and-paper games leave the paper coated with crisscrossing gibberish, this one ends up like a page from a coloring book.

Here, purple wins! (Green fly made some bad life choices.)

Ideally played while snacking on grapes.

This has more the flavor of a puzzle than a game. It's a puzzle I've yet to solve.

You begin by drawing a pyramid of 21 circles. Draw six on the bottom row, five on top of that, four on top of that, and so on.

Then, take turns writing a 1 in a circle of your choice.

After that, take turns writing 2, 3, and so on, in order. (You must write your numbers in order; no skipping ahead.)

When you have each written your 10, there will be one circle left blank: the black hole.

The black hole destroys all its neighboring circles. Whoever has a greater sum of numbers left over - that is, whoever loses a smaller sum to the black hole - is the winner.

If this speedy game is still too slow for your overheated 21st-century attention span, then you can eliminate the bottom row, and play using just 15 circles, where each player writes the numbers from 1 to 7.

(Or if you want to kill an extra ten minutes, add three more rows, for a total of 45 squares, so that each player writes the numbers from 1 to 22.)

Anyway, after a few rounds, I still have very few strategic intuitions about this game, but I love the simplicity of the design.

You begin with a 6 by 6 grid. Players take turns filling in pairs of adjacent squares, as if covering them with a domino.

These covered squares belong to nobody. Rather, you are fighting for control of the other squares, which you claim when your domino completes a fence closing off a region with odd number of squares.

Close off 2, 4, 6, or 8 squares? That's useless. Close off 1, 3, 5, 7, or 9? You can claim them. (More than that, though, and it doesn't count.)

The winner is whoever claims more squares by the end.

Some games, like "Bunch of Grapes" and "Black Hole," feel so simple that they must have existed all along, as if their designer merely "discovered" them. Other games, like this one, are so quirky that they can only have been invented.

Or perhaps I should say "bred." To my eye, this game has genetic traces of Nim, Cram, Dots and Boxes, and more.

Many pencil-and-paper games feel airy and abstract. Why dots? Why boxes? Why tics, tacs, and toes? That's why I love the cute and highly literal theme of this one; the game resides right there in the name.

Snake fight!

Begin with a 5-by-5 array of dots, and draw in the outline. The players begin their snakes in opposite corners.

The goal is to cross the enemy snake as many times as possible.

You take turns extending your snake via vertical, horizontal, or diagonal lines. Your snake can never cross or touch itself, and cannot trace over a segment that has already been drawn (by you, your opponent, or the border).

The game continues until neither player can move. Make sure to keep score as you go; otherwise, you won't be able to tell who crossed whom!

(Fine print: Passing through the enemy's "head" counts as a crossing. So does the last move above for orange, where the head reaches the enemy, but doesn't pass through.)

I've saved for last the game that is perhaps the simplest - not to mention the deepest.

Begin with a 6 by 6 grid. On each turn, you mark any box you like, but you must also eliminate an empty neighboring box.

Eliminating a diagonal neighbor is allowed.

The winner is whoever creates the largest group of connected marks. (Diagonal connections count.)

Play until no more moves are possible.

I have no idea why this one is called "Collector." Why not "Connector"? Or "Barrier"? No matter: a pleasant mystification is a natural byproduct of Joris Radiation.

The gameplay here reminds me of Amazons, a classic 1988 territorial game in which each move involves the annihilation of a square. This creates a "the world is falling away!" flavor of drama.

A Brief Interview with Walter
How did you develop an interest in designing games?
I always liked board games. And in my youth, there was a kind of a culture in pen paper games, long before computers were there. And then there was Martin Gardner and his math puzzles, which fascinated me.
How do you go about designing a game? What's the process like?
The first ones are the hardest. But once you give your mind the task: "invent games", it obeys. It starts to be creative. And then, whenever there is a kind of inspiration, a special pattern you see, a combination, your creativity will turn it into a game.
Where do you farm for ideas? As in: what board games do you play? What books do you read?
Well, mathematical puzzles of course, but also puzzles and pastimes for children. Also: existing board games in the world, and there is a lot of them. I myself play Go. And reading, I've read an enormous amount of books. Must be thousands. All kind of genres, philosophy, science fiction, novels, also the classical ones, from Dostoevsky to Rimbaud. Strange books likes the ones of Madame Blavatsky. Dali. Marinetti, Dada...Popular science also, but mostly in magazines. Art, history, cultural history.... I speak Dutch, French, English, German, and a bit of Spanish, In the first 4 languages I can read books rather easily. So, living in Belgium, in the middle of those cultures, you can imagine what an enormous amount of books and rare books you can find. With the fast train, you are from Brussels in about 1 hour in Paris, 1,5 in London, Cologne in Germany. Where I live, I can go by tramway from the Netherlands to France.
Do you think of your games as fundamentally mathematical?
Yes, I think of all games as fundamentally mathematical. I call myself a "matheist."
Lots of games in your book are adapted from board games. How do you decide if a game is suitable for adaptation?
It has to be able to become a pen and paper game. And that is fundamentally different. In material board games, it's all about the empty spaces; in a pen and paper game, about the occupied ones.
What are your favorite games (not of your own making)?
I played them all once. Now, I've limited myself to only Go.
What are your favorite games (of your own making)?
Since I invented them, I like them all. But Sequentium is definitely my favorite.

Thanks to Walter for answering my questions. You can find his work on Facebook, at Deviant Art, and of course in his book.

And at his request, here's Walter's explanation of his crown jewel, Sequencium:

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Six Strategic Pen-and-Paper Games (from a Strange and Bottomless Mind)

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This year, I'm writing a book about mathematical games. For my research, I've been reading old collections, scrounging Board Game Geek, hosting play-test parties, attending game design conventions, and conscripting students as guinea pigs (which works much better than the reverse: conscripting guinea pigs as students).

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Copy of Black Hole Games by Ben Orlin and Mike Flynn

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Copy of Black Hole Games by Ben Orlin and Mike Flynn

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What one fool can do, another can.

(Ancient Simian Proverb.)

Table of Contents

About this book

Calculus Made Easy is a book on calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject.

I read "Calculus Made Easy" by Silvanus P. Thompson and it's still to this day my inspiration for explaining complex technical topics to lay people. It's a fantastic book, and even if you know math you must read it if you want to understand how to teach complexity to others. (source)

Thompson creates a warm, inviting environment where students will learn and grasp the true essence of calculus without any added fluff or overt technicality. (source)

Most college calculus texts weigh a ton; this one does not - it just gets to the point. This is how I learned calculus: my uncle gave me a copy. (source)

Buy paper version

On Amazon.com*

Second hand from Biblio.com*

What next?

Visual Complex Analysis* is legendary. Just as Calculus Made Easy it uses geometrical approach instead of usual symbolic one.

* Affiliate link

About this edition & thanks
The text is based on the PDF version from Project Gutenberg converted to html by hand.
Thanks to Paula Appling, Don Bindner, Chris Curnow, Andrew D. Hwang and Project Gutenberg Online Distributed Proofreading Team for preparing the original PDF.

The theme is borrowed from Dive Into HTML5 by Mark Pilgrim released under the CC-BY-3.0 license.

Full legal notices. Github page.

Please send corrections, suggestions and comments on nadvornik.jiri@gmail.com

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What one fool can do, another can. (Ancient Simian Proverb.) About this book Calculus Made Easy is a book on calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. I read "Calculus Made Easy" by Silvanus P.

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Google Drive Folder of different Pics by Bonnie Basu

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Google Drive Folder of different Pics by Bonnie Basu

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Distance Learning Best Practices Spreadsheet by Fawn Nguyen

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Distance Learning Best Practices Spreadsheet by Fawn Nguyen

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This activity is intended to help you get to know your students and for them to get to know each other. Consider spreading screens out over the course of several days or using this activity all at once. Inspired by and with gratitude to Julia Anker, Howie Hua, Sara VanDerWerf, and The Abolitionist Teaching Network.

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Synchronous Online Teaching Strategies and all material on this website by Theresa Wills is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.Based on a work at theresawills.com.Permissions beyond the scope of this license may be available at theresawills.com/permissions.

Interactive slides for any content area

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Templates - Where THERE'S A WILLS, there's a way

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Howie Hua's First Day of School Activities

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Howie Hua's First Day of School Activities

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The Short Version:

We as math teachers tend to only talk about white male mathematicians.

Most of my students don't look like that, and thus, they have few mathematical role models they can identify with.

Take 10-15 minutes a week to research (read Wikipedia, that's all you need) a not-old-dead-white-dude mathematician, and then take 5 minutes in class to tell your students about them. Include a picture. It's worth it, I swear.

Here is the presentation from NCTM Regionals in Chicago
Here is a SEARCHABLE SPREADSHEET LIST of mathematicians
Explanatory Blogs

I've blogged at MTMS about this project in far more detail than I have here. Check out those four posts below.
Post #1 The Mathematician Project Post #2 How to Enact the Mathematician Project Post #3 What I Learned About My Students Post #4 Extensions of the Mathematician Project
For the super excited, you can read the paper I wrote about the project below.
Mathematicians Paper
List of Mathematicians (Or use this spreadsheet)
Men (alphabetical by last name) Women (alphabetical by last name)
This book is a great resource for many of these women.
Trans Mathematicians
But Brian (on twitter @_b_p and blogging at https://lazyocho.com/) has made some excellent printable posters to put up and he's been kind enough to share them here! What a nice guy!
Beyond_White_Dudes_Mathematicians

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Do you have mathematicians you'd like to add? Please fill out this google form and I'll periodically add to this list! What is the Mathematicians Project? The Short Version: We as math teachers tend to only talk about white male mathematicians. Most of my students don't look like that, and thus, they have few mathematical...

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Hey folk! Here are links to all of the #MathArtChallenge…challenges. :) Please feel free to share widely. This dropbox folder has lots of videos/pictures, too. Also, if you have an idea for a…

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Hope Required when Growing Roses in Concrete

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Hope Required when Growing Roses in Concrete

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A Mathematician's Lament by Paul Lockhart

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A Mathematician's Lament by Paul Lockhart

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Breakout EDU | Breakout EDU is the immersive learning games platform | It's time for something different

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Building Community Remote Learning Style

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My favourite whole class, 5-10 min projector board games suitable for all levels with clickable links http://shorturl.at/fF169
A teacher guide with tips & curricular links http://shorturl.at/gk036

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Ultimate Noughts & Crosses Drench Beautiful Satisfying Pattern Jugs Puzzle Simon Game Alien Angles Spiromath Negative Number Connect 3 Free Rice Coordinate Treasure Hunt

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

Which One Doesn't Belong?

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This is Which One Doesn't Belong?, a website dedicated to providing thought-provoking puzzles for math teachers and students alike. There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy!

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Open Middle - Challenging math problems worth solving

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Open Middle offers interactive math problems designed to foster critical thinking. Explore unique challenges that boost problem-solving skills and creativity.

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Culturally Responsive Teaching & The Brain

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Culturally Responsive Teaching & The Brain

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Culturally Responsive Teaching & the Brain

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Hey. Thanks for stopping by my blog. You might have found your way here through a number of possible paths. Maybe you heard about my book, Culturally Responsive Teaching and the Brain. Or, maybe you typed in www.ready4rigor.com and those shadowy internet puppeteers redirected you here. Maybe you ended up here because you were doing a Google search for culturally responsive teaching practices

Or maybe your school is reading Culturally Responsive Teaching and the Brain in a book study and you wanted to know more about this Zaretta Hammond chick who wrote it.

It doesn't matter how you got here. What's important is that you and I are now connected.

Since you are an equity-minded educator like me, you are probably waging your own private movement to bust the myths behind student engagement (or the lack of) among low performing students of color, poor students, and English learners.

Well, you are in the right place. This is a blog where we can get answers to our collective and individual questions about how we can help students become confident and competent learners. In this space, I want to highlight what I am learning from being out in schools and classrooms with teachers who are successful with diverse students. I want to focus on how we can take everyday strategies and practices and put them to work in their classrooms to be more culturally responsive.

So, again, welcome!

Just to let you know, on average, I publish a new post every other week - two times per month at the least (sometimes a few more). That gives me time to be in schools and to write. If you don't want to miss updates on what I am seeing and learning, sign up for my newsletter by pushing that button below.

Binge-worthy Posts and Podcasts

Books are good, but sometimes you want your knowledge in bite-sized doses. That's what I like to deliver: consumable, usable, and entertaining food for thought (and action). Here are some of the most popular blog posts and guest podcast interviews to sample.

About Zaretta Hammond

It's funny. These days a lot of folks are calling me "Dr. Hammond" since the book has become required reading in many teacher education programs and school districts. Well, to set the record straight, I am not a PhD. I do have a Master's degree, but I consider myself a "boots on the ground" teacher. I call myself a former writing teacher turned equity freedom fighter. My heart is forever with children and teachers in the classroom, not in an ivory tower, even if these days most of my "students" are new leaders and pre-service teachers. [ A quick note: Not throwing any shade at all the PhDs out there doing the work.]

When I was in the classroom back in the day, I taught composition (expository writing). It was where I started to understand how important literacy was to equity, and how neuroscience and culture should inform our instructional practice.

Since leaving the classroom, I have done work as a curriculum designer and professional developer at organizations such as the National Equity Project and the Annenberg-funded Bay Area School Reform Collaborative (BASRC) in the San Francisco-Bay Area. I am a trained facilitator in anti-bias processes and have facilitated groups focused on learning to talk about issues of racial politics and privilege.

My primary work has been linking instruction, equity, and literacy. I have spent time as an adjunct instructor at Saint Mary's College in Norther California where I taught Adolescent Literacy and trained tutors and parents in reading support strategies for struggling students of color.

As an undergraduate, I attended University of California, Berkley before finishing up my degree at New York University where I majored in English Literature with a minor in Writing. I completed my Masters in Secondary English Education, with a Concentration in Writing Instruction at University of Colorado, Boulder where I simultaneously did my teacher certification program (starting three months after the birth of my son. I do not recommend this).

For the past 25 years, I've maintained a small, independent education consulting practice from which I do my research and writing as well as support schools doing deep instructionally-focused equity work.

Stay in touch

I hope this blog inspires, motivates, and challenges you to try some new practices that move you toward being more culturally responsive. If it does, send me a note. I'd love to hear from you. The best way to keep in touch with me is to sign up for free email updates (where you get all kinds of exclusive goodies).

Other Ways to Connect

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About - Culturally Responsive Teaching & the Brain

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Hey. Thanks for stopping by my blog. You might have found your way here through a number of possible paths. Maybe you heard about my book, Culturally Responsive Teaching and the Brain. Or, maybe you typed in www.ready4rigor.com and those shadowy internet puppeteers redirected you here.

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Welcome to the Nepantla Teachers Community, a non-profit organization committed to developing mathematics teachers who strive for social justice in education. is a Nahuatl (Aztec language) term connoting in between or a reference to the space of the middle. In other words, it is the space of uncertainty, tension between truths, and "grey area". As mathematics teachers, we can learn in this space by reexamining our beliefs and questioning oppressive structures and practices. We assert that growing in nepantla help us form critical perspectives to better prepare our students.

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Social Justice Education | Nepantla Teachers Community

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Welcome to the Nepantla Teachers Community, a non-profit organization committed to developing mathematics teachers who strive for social justice in education. is a Nahuatl (Aztec language) term connoting in between or a reference to the space of the middle. In other words, it is the space of uncertainty, tension between truths, and "grey area".

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By Howie Hua

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graspablemath.com

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The exact skills you need

Planning a lesson or prepping for an exam?
We've custom-built IXL skills to reinforce each topic within your:

State standards

Virginia Standards of Learning (2016)

Textbooks

See skills that match every chapter of 80+ popular textbooks

Assessments

Use IXL for the NWEA MAP, ACT, SAT, and more

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IXL | Math, Language Arts, Science, Social Studies, and Spanish

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IXL is the world's most popular subscription-based learning site for K-12. Used by over 15 million students, IXL provides personalized learning in more than 10,000 topics, covering math, language arts, science, social studies, and Spanish. Interactive questions, awards, and certificates keep kids motivated as they master skills.

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Problems are randomized, allowing students multiple opportunities to get the practice and feedback they need on the road to mastery.

Go beyond right and wrong. As soon as a student submits an answer, they get a detailed age-appropriate explanation.

DeltaMath allows teachers to mix and match problem-sets, control rigor, vary due dates, and, with PLUS or INTEGRAL, create tests and problems of their own.

Use DeltaMath's modules to create high-leverage assignments and track student learning. With DeltaMath PLUS or INTEGRAL, students also get access to help videos. Create and assign tests, assign specific problem-types, even create your own problem.

Learn More

Problems solved with DeltaMath

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Topic: Statistics and Probability (SP)

Topic: Statistics and Probability (SP)

Topic: Conditional Probability and the Rules of Probability (CP), Interpreting Categorical and Quantitative Data (ID)

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mathalicious lessons teach standards-based math through real-world topics that students care about.

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Topic: Statistics and Probability (SP) Topic: Statistics and Probability (SP) Topic: Conditional Probability and the Rules of Probability (CP), Interpreting Categorical and Quantitative Data (ID)

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At youcubed, we inspire, educate and empower teachers of mathematics, transforming the latest research on mathematics learning into accessible and practical forms.

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Tens of thousands of teachers have used our exemplar curriculum to bring math joy to over 7 million students across the planet. Transform how students perceive mathematics!

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A garden snail's average speed is about ​0.029 mi/h. The North American X-15's top speed is about 4,520 mi/h. How much time would it take for each to travel across the United States, a...

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​ You may need to click on an image to see it fully.

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mmcchicago.org

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We think that this is a very good time to wish for peace. Above is a picture of the wreath that I made for this winter's season. Do you know this symbol? Where did it originate? Do you ever use a different symbol for peace (for instance, sideways "V"s)?

In this activity students learn about the semaphore flag symbols and how this peace symbol was first designed. They design their own symbol and try to figure out how many possibilities there are in this kind of communication.

The activity: PeaceSymbol.pdf

How should I cook my turkey? - Students judge timing, cost, tastiness, and quantity necessary as they plan for the feast. 4.MD, 5.NBT, 4.MD, 6.RP, 6.NS, 7.NS + Great video on a deep frying fire with William Shatner.

Shopping season already! - Students will be able to add some understanding and analysis to holiday shopping trips after calculating savings in dollars and percents with this timely investigation. 6.RP, 7.EE, 7.EE

Not enough mashed potatoes - Use Brian's famous mashed potatoes recipe to practice changing decimals to fractions; calculating ingredient measure for various-sized Thanksgiving servings; have students explain their reasoning; and to have students figure out how many servings 7½ pounds of potatoes would make. 5.NF, 6.RP, 7.RP

Consumers in the U.S. spend a lot of money. In this activity we look at historical data to see if there are any patterns in our spending. How does our holiday spending show up in these graphs? What accounts for spikes or drops in spending? What patterns do you notice? Which patterns will likely continue and which patterns won't? Let the class see, think, wonder and discuss in this timely activity.

Soo Yeon is a Mathematics teacher at an international school in Asia and has be an avid user of YummyMath. Formerly she was a chemical engineer and shares our intent of providing practical, relatable, and real-world contexts in teaching mathematics.

She would like to share the following with YummyMath users:

"As you know Leslie and Brian's hard work and vision of exploring math in real life contexts has been instrumental in helping students develop critical thinking, questioning skills, and a positive attitude towards Mathematics. I wholeheartedly share their vision and am dedicated to upholding their mission. Moving forward, YummyMath will continue to evolve, enhancing content and user experiences to better meet your needs both now and in the future. I understand the challenges teachers and parents face in balancing engaging activities with time management. To address this, I kindly request your input through a survey ( ) to ensure that YummyMath effectively supports your needs.

Thanks so much for your support as YummyMath starts this new chapter. "

In this activity, students work through the nomenclature to understand the possibilities of nano science and quantum dots. Questions that are answered; How many nanometers are in a millimeter? What is a semiconductor? What and why does this nano technology increase our ability to closely examine, understand and modify our tools?

The activity: Quantum-dot.pdf

On Veterans Day we honor the men and women that have served in the Armed Forces of the United States. There are now 16.2 million living veterans. We found these maps that show where veterans live in the U.S.

What do you notice and what do you wonder when seeing these maps?

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We think that this is a very good time to wish for peace. Above is a picture of the wreath that I made for this winter's season. Do you know this symbol? Where did it originate? Do you ever use a different symbol for peace (for instance, sideways "V"s)?

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Would You Rather Math – ASKING STUDENTS TO CHOOSE A PATH AND JUSTIFY IT WITH MATH

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Teachers, sign up for my mini-workshop to learn about how to implement Would You Rather Math into your classroom routines. We will explore some sentence frames, what happens when things don’t go as planned, how to use the prompts in a remote learning setting, and much more. See you there!

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What is the first question that comes to your mind?

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Explore these patterns with your students and watch their natural tendencies to see patterns morph into powerful algebraic thinking and reasoning. It’s an ideal routine to foster mathematical practice #7 - look for and make use of structure.

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Powerful Teaching: Unleash the Science of Learning

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UNLEASH FOUR POWER TOOLS

Learn about four research-based Power Tools: Retrieval Practice, Spacing, Interleaving, and Feedback-Driven Metacognition.

TRANSFORM LEARNING IN YOUR CLASSROOM

Learn how to adapt Power Tools and conquer everyday challenges in not just any classroom, but your classroom.

partner WITH STUDENTS AND PARENTS

Learn how to partner with students and parents, boosting achievement inside and outside the classroom.

Drawing on a fifteen-year scientist-teacher collaboration, cognitive scientist Pooja K. Agarwal, Ph.D. and veteran teacher Patrice M. Bain, Ed.S. are experts on transforming teaching with the science of learning.

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Powerful Teaching: Unleash the Science of Learning

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Powerful Teaching is an indispensable book written by a cognitive scientist and a veteran K-12 teacher. Take your instruction to the next level, implement evidence-based strategies, and transform learning in your classroom.

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Index - National Council of Teachers of Mathematics

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Like many of my generation, I grew up coming home from school each day turning my television set to channel three and firing up my Nintendo to play the newest video game. Video games challenged me to solve problems, discover patterns and react to a variety of situations. The visible representations of movement and action combined with a level of intellectual undertaking would keep me occupied for hours.

I believe mathematics instruction should be akin to this "video game" experience with regard to visual representation and cognitive engagement. Teaching in this way removes many of the barriers found in traditional mathematics instruction. It creates an open learning environment where students are tasked to discover patterns and problem-solve free from the limitations of "follow me" mathematics in which students mimic teacher steps. When math is taught in such a traditional rote manner, only students that follow the specified "rules" are successful.

So then, how can we use video games to transform classroom mathematics? Mathematics should be presented in a way that enables students to connect math concepts to visual action. Everyone can see an action and interpret it. When someone runs or jumps, it can be understood in any language. Video games have the power to show mathematical concepts in the form of a specified type of action.

Let's look at this geometry problem on changing dimension effects on a cube or rectangular prism.

Standard problem: Three dimensions of a cube are reduced to one-half their original length. If its original volume was 256 cubic units, what is its new volume?

In order to be able to solve this problem, a student would have to know the formula for the volume of a cube and if they did, compute it correctly by using the quantity (1/2) cubed in some sort of way to get the correct answer of 32. This a procedural based approach that only works with cubes.

Video game approach:

Mario stomps on a rectangular prism and cuts it in half.

So, what happened? Almost every student can see or tell you that the shape was cut in half. From there meaningful mathematical discourse can be established by asking questions, such as: What happened to the volume? the length? the width? the height? Students can develop a conceptual understanding of change in dimension when mathematics are presented through this type of action. In this example students are not constrained to formulas or algebraic symbols or even numbers. It is about constructing mathematical knowledge and understanding that can be applied to any type of situation.

I posed this question to a group of seventh grade students. I showed them a video of Mario smashing the block in half and asked them what happened. Every one of them had the understanding that if the volume of a shape is cut in half only one dimension is changed because they could see it and there were no numbers or symbols getting in the way of processing the action. Some sample student responses:

It is in this way that visual representations through the action in video games allows conceptual understanding and personal meaning to take root.

The Power of Desmos

Desmos also has the ability to create situations for students in which they can easily generate their own data. When students have a level of engagement with or attachment to data, the situation in which the math is presented takes on a different level of meaning. Desmos has a variety of activities in which students have such an opportunity. Here's an example of a video game-based activity I created in which students make their own data.

Students play through various boxing matches to gather points.

Students calculate statistical measures based on their own data.

Students play through the boxing game and generate points in each level by fighting various boxers. Thus, each set of data is created from individual experiences in the game. In this activity students are challenged to find the mean, median, range, and mean absolute deviation from the data they created. This is powerful with a statistical measure such as range in which if a student has a large range they can reflect on the experience of scoring high in one fight or bout versus scoring low in another or likewise having a small range because each fight had similar scores. This is easily facilitated into the classroom because of the power of Desmos activity builder.

There are other functions in Desmos that allow for improved classroom experiences. In a recent activity I used the random number generator in the Desmos software to create different numbers or values for students. This moves the focus of instruction to the process of finding the correct answer instead the value of the current answer. It pushes students to ask, "How did you get the answer?" instead of "What did you get for the answer?" The power in that subtle change moves students from copying an answer from a peer to having students engaging in mathematical discourse.

Students will encounter different values due to the power of Desmos.

In this problem, the percentage is different for each student. This means every student will have a different correct answer that Desmos can verify is accurate. It sets the stage to invite collaboration into the classroom because Desmos has removed most opportunities (it is random so repeats could happen) in which students can copy each other's answers. For even more variability, the random number generator could also be applied to the water depth along with the percentage. The focus in math should be on how you get the answer and not on what you got for the answer.

It is time to move past the old traditions of math classrooms and move to a place where math engages students cognitively, removes barriers of language and background, and creates a classroom that values process and individual experiences. Desmos has the power to make this a reality and video games provide a format in which to present traditional mathematics content in a new and more engaging way.

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Like many of my generation, I grew up coming home from school each day turning my television set to channel three and firing up my Nintendo to play the newest video game. Video games challenged me to solve problems, discover patterns and react to a variety of situations.

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By Margaret (Peg) Smith and Miriam Gamoran Sherin

Take a deeper dive into understanding the five practices-anticipating, monitoring, selecting, sequencing, and connecting-for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence. This follow-up to the modern classic, The 5 Practices in Practice: Successfully Orchestrating Mathematics Discussions in Your Middle School Classroom, shows the five practices

Authored by Margaret (Peg) Smith and Miriam Gamoran Sherin, with a foreword by Dan Meyer, the chapters unpack the five practices and guide teachers to a deeper understanding of how to use each practice effectively in an inquiry-oriented classroom. This book will help you launch meaningful mathematical discussion through in action in middle school classrooms and empowers teachers to be prepared for and overcome the challenges common to orchestrating math discussions.

Key questions to set learning goals, identify high-level tasks, anticipate student responses, and develop targeted assessing and advancing questions that jumpstart productive discussion- before class begins

Video excerpts from real middle school classrooms that vividly illustrate the five practices in action and include built-in opportunities for you to consider effective ways to monitor students' ideas, and successful approaches for selecting, sequencing, and connecting students' ideas during instruction

"Pause and Consider" prompts that help you reflect on an issue-and, in some cases, draw on your own classroom experience-prior to reading more about it

"Linking to Your Own Instruction" sections help you implement the five practices with confidence in your own instruction

The book, co-published with Corwin, and companion website provide an array of resources including planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks. Enhance your fluency in the five practices to bring powerful discussions of mathematical concepts to life in your classroom.

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The 5 Practices in Practice: Successfully Orchestrating Mathematical Discussion in your Middle School Classroom

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By Margaret (Peg) Smith and Miriam Gamoran Sherin Take a deeper dive into understanding the five practices-anticipating, monitoring, selecting, sequencing, and connecting-for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence.

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Bring your favorite beverage and join us for virtual check-ins about remote learning. Share ideas & resources, gain ideas and resources! Check your e-mail for Zoom Links (from ICTM) or e-mail ICTM Remote Learning Happy Hours and Teacher Recognition
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Bring your favorite beverage and join us for virtual check-ins about remote learning. Share ideas & resources, gain ideas and resources! Check your e-mail for Zoom Links (from ICTM) or e-mail ICTM Remote Learning Happy Hours and Teacher Recognition [email protected] (Grades 6-8, May 5th, 7 PM) (Grades PreK-5, May 6th, 7 PM) (Grades 9-16, May 7th, 7 PM).

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In this chapter, the authors encourage readers to "Embrace Difficulties" during learning. One example is the myth of errorless learning. Contrary to popular belief, making errors during retrieval is a good thing for learning. In one experiment, students made errors while studying, which improved their learning, yet they didn't recognize this benefit.

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Make it Stick: The Science of Successful Learning - Retrieval Practice

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In the book Make it Stick: The Science of Successful Learning, cognitive scientists present key findings and learning strategies drawn from rigorous lab and classroom research.

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A guide to avoiding shorcuts that cut out math concept development.

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Jeff Bezos may be insanely rich, but it is a drop in the ocean compared to the combined wealth of his peers. The 400 richest Americans own about $3 trillion, which is more than the bottom 60% of Americans.

A trillion dollars is such a large figure, that you might as well say "eleventy gajillion zillion dollars." So in this section, we will try to understand the scale of this figure by looking at what could be accomplished with various chunks of this wealth.

As we proceed, try to keep in mind: all of this wealth is controlled by a group so small, that they could fit on a single 747 airplane-with 260 seats left over.

Malaria is one of the worst infectious diseases ever visited on mankind, possibly killing more people than any other infectious disease in history. In the 20th century alone, malaria killed more people than the Black Death.

Coronavirus has shown us all the horrors of living with a deadly disease. Sadly, for much of the world, this horror was a constant feature of daily life even before coronavirus.

These figures are even more shocking when you learn that malaria overwhelmingly kills children; around two-thirds of malaria deaths each year are children under five. That's around 285,000 children.

All of these deaths are preventable. Treating and preventing malaria is a well understood science, universally practiced in the developed world.

It is estimated that malaria could be globally eradicated by 2030 for a cost around $1.84 per at-risk person per year, or around $100 billion total. This would be around 3% of the wealth currently possessed by the 400 richest Americans.

Around 800 children will die of malaria today. A small group of super rich people could stop it for a sum of money so small that they would likely never even notice its absence. But they choose not to.

The recent coronavirus stimulus was the largest ever passed by congress. It was financed entirely through deficit spending, which will be repaid by taxpayers for generations. The burden of repaying this debt could be erased in an instant with a tax on the super rich so small that they would not even feel it.

The wealth of 400 Americans could have financed the entire CARES act, including the corporate bailouts, expanded unemployment, and expanded testing-with nearly a trillion dollars left over.

Instead, the American tax payer will be stuck with the bill.

As of 2019, around 38 million Americans lived in poverty. If Americans in poverty were a state, they would be second largest by population. There are more Americans living in poverty than the entire population of Canada. There are likely millions more newly impoverished as a result of coronavirus, but those numbers are not fully known yet.

Population of US States compared to poverty, 2019

It may seem counter intuitive that a one-time subsidy could have any lasting impact on chronic poverty. But one of the surprising truths about poverty is that it's fluid. Americans move in and out of poverty many times throughout their lives, and one good year can have a massive and long lasting effect.

A wealth of data now supports the idea that one-time cash transfers can permanently transform a local economy. Given a sudden windfall, people invest in their future. They go back to school, obtain transportation, pay for childcare, pay down debilitating debts, and do any number of things to improve their career prospects and financial future.

This would not be a permanent fix for all Americans. Surely, some would quickly return to poverty, and others face debts so large that the subsidy would make little difference. But for tens of millions of Americans, this would be a life changing event. It would be a generation defining social program that reshapes our economy for decades to come.

Contaminated water is a major source of disease, including cholera, dysentery, and typhoid. It is estimated that contaminated water kills about 829,000 people every year, making it one of the world's biggest killers. The cost to provide clean water and waste disposal for everyone on earth would be about $240 billion, or 8% of the wealth controlled by the 400 richest Americans.

OK, now that we've established the scale of inequality in the United States, let's dare to dream a little bigger.

There are about 128 million households in the United States. To give each one $10,000 would cost $1.28 trillion, or about 43% of the wealth controlled by 400 Americans.

As Americans debate how and when to open the economy after coronavirus, we are frequently presented with a seemingly impossible choice between risking millions of lives and sliding into a great depression through a continued lock down. This is a repugnant lie.

The money to weather this storm while maintaining quarantine exists, it's just a matter of finding the political will to take it.

These programs combined would completely transform our world. By redistributing this wealth, millions of lives would be saved. Billions would be rescued from poverty and disease. By inconveniencing just 400 people, the entire human race could advance to a new, unprecedented level of development.

And all of them would still be billionaires afterwards.

Is it really so radical to suggest that this is the right thing to do? Given the choice between millions of deaths, and slightly shrinking the fortunes of a few super rich people, how could anyone conclude that the death of millions is preferable?

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Jeff Bezos may be insanely rich, but it is a drop in the ocean compared to the combined wealth of his peers. The 400 richest Americans own about $3 trillion, which is more than the bottom 60% of Americans. A trillion dollars is such a large figure, that you might as well say "eleventy gajillion zillion dollars."

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