A discussion on the Facebook group "Math Teachers Professional Learning Network" prompted me to create two videos (quickly, and not at all professionally done!) introducing the method I've taught for more than 50 years.
I have been making my math stories, illustrated by my grandchild, available online at no charge. Please feel free to download and print, and share the links wherever you think someone might enjoy them.
Within each story there is typically a place where the reader (parent, teacher, or child) should stop reading and do some work on the embedded mathematics.
Here's an example of an app that's available online from NCTM. It's pitched at grades 3-8, but I wouldn't hesitate to share this with much younger children--it provides an exploration of algebraic thinking about equations using a balance scale: Pan Balance – Shapes Here's a screenshot:
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If you remember LOGO or Turtle Geometry from the early days of home computing, you'll like Turtle Pond. This introduces children as young as pre-K to rudimentary coding.
Several good online games are available at PBS Kids Odd Squad Games. In particular, I liked "Down the Tubes." The underlying math includes number stuff (different sums to make a particular target length of tube) and geometric transformations (turns and flips). The levels build slowly, but eventually get mathematically interesting. The graphics are sufficiently eye-catching so your child will have the patience to continue to a challenging level.
The game claims it "secretly teaches algebra," which is true, but I think there are advantages to having a parent or teacher ask the occasional question or suggest recording what is happening in the game on paper so the algebra can be made more explicit. A good description of the game variations can be found here: DRAGONBOX ALGEBRA - The game that secretly teaches algebra.
Daily set game puzzle online LetsTans Classicpresents an outline to fill in, the seven tangram pieces in rich colors, and a mechanism (tapping a piece) for rotating. Many puzzles and many play options. I think this is the winner in the category. Free. iPad and iPhone. http://bit.ly/letstansclassic There are variations: Classic 2, Contours, Kids ("for the youngest solvers only"), and Silhouette (challenging! the shape you must create is NOT presented at the full size) are available as separate downloads. Khan Academy GeoGebra on the App Store Educreations Interactive Whiteboard on the App Store
For starters, go to my blog entry on Mathematics and Literature. You'll find suggestions for books that have mathematics in them available to your learners and ways to guide that math learning.
Stuart J Murphy has written a plethora of easy readers for young children that address math topics. I'm not wildly enthusiastic about them, but they do contain pages of activities and games for parents to use to go beyond the stories. His website has free pdfs.
How to access Math Expressions online:start here and follow the directions for your child's grade level book and resources.
My granddaughter just finished illustrating one of my math stories. (The math at the heart of the story is the Fibonacci sequence and the teaching/learning strategy of "Notice and Wonder" is featured.) I hope you'll take a look. She did the artwork in two days. An AMAZING 10-year-old! Enjoy!
http://mathmarsha.blogspot.com/p/steps-of-wonder-free.html…
The Real ACT (CD) 3rd Edition (Real Act Prep Guide) [Paperback]
Publisher: Peterson's Guides September 6, 2011
ISBN-10: 076893432X
Official SAT Study Guide (2016 Edition) (Official Study Guide for the New Sat)
Publisher: College Board
ISBN-10: 1457304309
Simulate test conditions when practicing – use an answer sheet, observe time limits, take at least one whole practice test in one sitting.
WRITE ON THE TEST
• Show work next to each item.
• Mark up line numbers in reading passages with connections to questions.
• Cross out eliminated answer choices.
• Mark your answer for each item on the test before recording it on your answer sheet.
CODE EACH ITEM
S Sure
G Guess (only after eliminating at least two of the answer choices)
W Wild guess (when you don’t know enough to eliminate two answer choices)
→ Come back to this one when more time is available
Use the code to make good use of time. This will be discussed during the video. Be prepared to take notes!
STRATEGIES (Math)
• Try the answers.
• Plug in numbers.
• Use the diagram for all it’s worth.
• Draw a diagram.
• Don’t make up your own problem.
Use the problems below to practice the strategies. Solve the problems on your own, then watch the video for solutions.
Each of the following questions has five answer choices. For each of the questions, select the best answer choice given.
1. If the length and width of a rectangle are both tripled, the ratio of the area of the original rectangle to the area of the enlarged rectangle is:
(A) 1:3
(B) 1:6
(C) 1:9
(D) 1:8
(E) 2:9
2. At a luncheon table where 12 men are seated, one-half of the men belong to Club A, one-third belong to Club B, and one-fourth belong to both clubs. How many men belong to neither?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
3. In December, Elizabeth sold 30 percent more satellite TV subscriptions than she had in November. In January, she sold 20 percent more satellite TV subscriptions than she had in December. The number of satellite TV subscriptions Elizabeth sold was what percent greater in January than in November?
(A) 50
(B) 54
(C) 56
(D) 62
(E) 60
4. The weight of a bag of mangoes plus four more than twice that weight equals 40 pounds. How much, in pounds, does the bag of mangoes weigh?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 20
5. The triangle below is isosceles and is drawn to scale.
Here's an example of an app that's available online from NCTM. It's pitched at grades 3-8, but I wouldn't hesitate to share this with much younger children--it provides an exploration of algebraic thinking about equations using a balance scale: Pan Balance – Shapes Here's a screenshot:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you remember LOGO or Turtle Geometry from the early days of home computing, you'll like Turtle Pond. This introduces children as young as pre-K to rudimentary coding.
I also like Pick-a-Path (one of my favorites, suitable, at the higher levels, for grades 3 and up) (and me--I had trouble with this one!)
Several good online games are available at PBS Kids Odd Squad Games. In particular, I liked "Down the Tubes." The underlying math includes number stuff (different sums to make a particular target length of tube) and geometric transformations (turns and flips). The levels build slowly, but eventually get mathematically interesting.
The graphics are sufficiently eye-catching so your child will have the patience to continue to a challenging level.
The game claims it "secretly teaches algebra," which is true, but I think there are advantages to having a parent or teacher ask the occasional question or suggest recording what is happening in the game on paper so the algebra can be made more explicit. A good description of the game variations can be found here: DRAGONBOX ALGEBRA - The game that secretly teaches algebra.
There are variations: Classic 2, Contours, Kids ("for the youngest solvers only"), and Silhouette (challenging! the shape you must create is NOT presented at the full size) are available as separate downloads. Khan Academy GeoGebra on the App Store
For starters, go to my blog entry on Mathematics and Literature. You'll find suggestions for books that have mathematics in them available to your learners and ways to guide that math learning.
And, please, read the story that I have written and posted here Yes, That's My Mother! and let me know what you and your child think of it. So far I have received some useful suggestions for improvement, so I'll be posting a revision when I've had time to mull over the new ideas and create a new version.
Stuart J Murphy has written a plethora of easy readers for young children that address math topics. I'm not wildly enthusiastic about them, but they do contain pages of activities and games for parents to use to go beyond the stories. His website has free pdfs.
How to access Math Expressions online:start here and follow the directions for you child's grade level book and resources.
I am a retired mathematics educator and test preparation expert now doing individual mathematics mentoring with gifted students in grades K-9, usually emphasizing enrichment mathematics but sometimes acceleration as well. My students love mathematics, love to be challenged, love learning, and love the fact that I "get them."
I write picture books for children 7-13 years old. The stories have mathematical ideas as central themes and are intended to be read with children by parents and teachers.
My goal is to create a site for sharing math education ideas and materials with interested teachers, parents, and students.
Contact me at mathmarsha@comcast.net.