Thursday, September 29, 2016

Providence St. Mel Parent Workshop Saturday, October 8, 2016

Parent Resources for Encouraging and Enriching Math at Home

from Ways a Parent Can Help with Math


Websites and Readings for Parents

mathmarsha blog: CTD Parent Seminar April 18, 2015 focused on apps for mobile devices

 mathmarsha blog: CTD Parent Workshop 11/3/12 addressed math and literature, projects, games, manipulatives, etc.

 Helping Your Child Learn Mathematics With activities for children in preschool through grade 5

 Matific Note: available as an app for iPad and Android.


Strength in Numbers | National Numeracy Challenge helps adults learn the math needed for everyday life. A good place to start if you yourself are not comfortable with math.

High School Math Review Tutorials Problems - a free resource with examples, problems, explantions and exercises.  Parents can use these free resources and problems to help your child learn math.

Maths activities for children | Family Maths Toolkit has collections of activities for age ranges 3-13. Topics include: around the house, math and money, games, out and about, books and TV. From UK.






Parents booklet for written calculations (British) (a Word file that downloads automatically)

Written Methods of Calculation in Numeracy at Key Stage 2: A guide for parents and carers (another British one, a Word file that downloads automatically)








Technology

ONLINE


 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, Isometric Drawing Tool, Tessellation Creator, Equivalent Fractions.



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.

MOBILE DEVICES

NOT free:

DragonBox - Discover the game of Math 

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.



DragonBox Algebra 12+ - The award-winning math learning game on the App Store $.799

DragonBox Elements - Geometry Proofs on the App Store (iPad  $4.99)




Get both:  DB Advanced Math Pack on the App StoreWhere to buy DragonBox for Android – Customer Feedback for DragonBoxMystery Math Museum  $3.99 on iTunes.  (It has occasionally been offered at no charge. I was lucky that way!)  My granddaughter asks to return to this one. I'll show you why I like it enough to spend $ on it.

Greater Gator on the App Store $1.99

 24 Game – Math Card Puzzle on the App Store $1.99FREE

 *Links to free mobile device versions of pick-a-path, equivalent fractions, and others from the National Council of Teachers of Mathematics here.

 Big Seed is one of my favorites. It develops visual-spatial skills as you flip shapes to cover the presented puzzle. I find it much more challenging than my granddaughter does!

 BigSeed on the App Store on iTunes

 Matific - Educational Math Games For Kindergarten and Elementary School on the App Store offers hundreds of math activities, grades K-6.

 Sushi Monster on the App Store

 Numbers Game! - 6 Number Math Puzzle Game and Brain Training on the App Store

 Geoboard, by The Math Learning Center on the App Store

 Daily SET Puzzle on the App Store; alternatively, Combinations on the App Store

 LetsTans Classic presents 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



Collections












Games








Maths bingo (mobile app)


Everyday Activities





Cooking helps counting!

 Act like an architect: Draw your bedroom | GreatKids



Math and Literature

mathmarsha blog: Math and Literature: Books and Suggestions/Links for How to Use Them

 Math and Children's Literature -- a GREAT resource!

 Math Read-aloud Books

 List of recommended titles

 Fruit fractions | GreatKids

 Math Literature, Math Resource Book, Math, Mathematics, Elementary Math sorted by math topic--excellent resource

 Home - Math Literature Connections - LibGuides at Bowling Green State University This links to pre-school list; links across the top of the page take you to lists for K-6.

 Good Books for Problem-Posing Extensions

 Teaching mathematics through literature shows how to use the book Jumanji by Chris Van Allsburg to explore probability, for grades 5-6.


Sports


 Arts/Music/Crafts


Holidays and Seasonal






Pumpkin Math Estimates (grades 8 or 9)

Skill Practice


























Problem Solving and Puzzles











Surrounding Tiles


BOOKS

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.


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Monday, September 28, 2015

Providence St. Mel Parent Workshop October 3, 2015

Parent Resources for Encouraging and Enriching Math at Home

from Parents Helping.jpg




Websites and Readings for Parents




High School Math Review & Tutorials & Problems - a free resource with examples, problems, explantions and exercises.  Parents can use these free resources and problems to help your child learn math.




























Collections













Games








Maths bingo (mobile app)



Everyday Activities





Cooking helps counting!

Act like an architect: Draw your bedroom | GreatKids




Math and Literature

mathmarsha blog: Math and Literature: Books and Suggestions/Links for How to Use Them

Math and Children's Literature -- a GREAT resource!

Math Read-aloud Books

teacher.scholastic.com/reading/bestpractices/pdfs/mbmath_TitleList.pdf

Fruit fractions | GreatKids

Math Literature, Math Resource Book, Math, Mathematics, Elementary Math

Home - Math Literature Connections - LibGuides at Bowling Green State University

www.readwritethink.org/files/resources/lesson_images/lesson815/Biblio.pdf

Teaching mathematics through literature shows how to use the book Jumanji by Chris Van Allsburg to explore probability, for grades 5-6.



Sports


Arts/Music/Crafts



Holidays and Seasonal






Pumpkin Math Estimates (grades 8 or 9)

Skill Practice






































Problem Solving and Puzzles












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Saturday, April 11, 2015

CTD Parent Seminar April 18, 2015

Parent Options for Summer Math Enrichment at Home

Marsha Landau, Ph. D. 

Mathematics Education Specialist



Update: This post was used in preparation for two parent seminars on April 18, 2015, intended for
parents of gifted children enrolled in the Saturday Enrichment Program at the Center for Talent Development, Northwestern University. I shared some of my favorite picks among free apps, including those for iPad, that purport to be about mathematics for young students.

Aside from specific recommendations, we discussed what characterizes a good app or website for your children in contrast to much of the useless proliferation of options available. We talked about effective use of "screen time" with your children, and your own role in the activities.

Of course, because of questions and discussion, we didn't get to everything I had hoped, so this collection of links will stay here for future exploration.




ONLINE


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 like Pick-a-Path, Isometric Drawing Tool, Tessellation Creator, Equivalent Fractions.





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.



MOBILE DEVICES

for learning fun:

DragonBox - Discover the game of Math  (NOT free)

DragonBox Algebra 5+ on the App Store on iTunes - Apple (iPad)
DragonBox Algebra 5+ - Android Apps on Google Play (Android)
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.




Coding:   Learn | Code.org is a website where your child can learn to code. There are several options for getting started. One of the available apps is Lightbot, available online and for both iOS and Android. I chose Lightbot - One Hour Coding '14 on the App Store on iTunes. The objective is to light up the blue squares. You can direct your little robot =to move forward, turn, or light the square it is standing on. You can also build routines for the robot to execute. In the picture below, the routine P1 consists of the moves forward, forward, forward, light, turn 90° in the clockwise direction:


The next step is to use the routine in a loop. And so on.
Big Seed is one of my favorites. It develops visual-spatial skills as you flip shapes to cover the presented puzzle. I find it much more challenging than my granddaughter does!
BigSeed on the App Store on iTunes




Combinations  Created to play like SET, with 3 levels of difficulty. Free version has innocuous ads along the very bottom of the screen.


Tangram iPad Apps I tried and LIKED:

Big Block Tangram Puzzle -- Free provides a few shapes to cover with the tangram pieces. You can move and rotate the pieces. There are no solutions.
Note: Many other tangram apps are available!
Big Block Tangram Puzzle-Free on the App Store on iTunes

TanZen Lite is a good one. Full rotations are possible, not just multiples of 90°.
TanZen Free - Relaxing tangram puzzles on the App Store on iTunes

Another good one called Tangram Free by Jiuzhang Tech Ltd offers clockwise turns of 45° (incrementally) and flips. Many free puzzles.  Tangram Free on the App Store on iTunes

The advantage of   EZ Tangram HD  is that you can choose "free mode" where you can create your own shapes instead of just trying to build an outline given to you by the game. This one is also available for android. EZ Tangram HD (七巧板) on the App Store on iTunes

Kookie Tangram is multilingual! Colorful, and lets you know when you are correct. Three levels of difficulty. kookie - Tangram on the App Store on iTunes

***Best tangram app:  LetsTans Classic presents 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.




school learning-related apps:

Mystery Math Museum  $3.99 on iTunes.  (It has occasionally been offered at no charge. I was lucky that way!)  My granddaughter asks to return to this one. I'll show you why I like it enough to spend $ on it.





Khan Academy  (iPad) (free)   

Download Greater Gator for iPhone, iPad free - RockAppRoll (or $1.99)



6 Numbers As described in this review, 6 Numbers (iOS) review | SocialTimes, it "is somewhat akin to the “numbers round” in the long-running French game show Des Chiffres et de Lettres, better known to English-speakers in its British incarnation as Countdown. Players are given a target number to attain, and must reach it by using only the six numbers provided up to once each, and the four basic arithmetical operators as many times as they desire. Calculations can be completed in multiple steps by feeding the answer to a previous equation into the next one, so in this way the player can work with a much wider range of possible numbers than the selection of six initially appears to offer." I find it much more interesting than a worksheet! 6 Numbers by Brainbow on the App Store on iTunes (free)

Here's a shot of the play (please ignore the reflections!!):




Sushi Monster also requires the player to choose the numbers that produce the desired result, this time simply in pairs. Sushi Monster on the App Store on iTunes  
The free version includes addition and multiplication. A multiplication example is shown:




Grade 3 Math is decent (one of a series by Logtera). What I don't like about it:
•The voice over reads 5 x 9 as "5 multiplied by 9" instead of "5 times 9." I think 5x9 is 9 multiplied by 5. And it matters.
•It is sectioned off by operation, so even though there are some good word problems, if you are doing the "subtraction" section, all the problems will involve subtraction. This cuts down drastically on the need for thinking.
3rd Grade Math : Common Core worksheets game for kids. on the App Store on iTunes

Mathmateer is strictly drill and practice, but the reviews suggest that children will do it, so it beats a worksheet by a mile and saves paper. Topics drilled include even numbers, telling time, counting money, 3D shapes, and basic arithmetic operations.



 Counting and Skip Counting by IKIDSPAD doesn't do much but succeeds at what it is designed to accomplish. Free version has ads at the top of the screen.

Hey Math!  a Singapore Math product, is not very impressive. I watched a video (for grade 3) about adding fractions. Students are TOLD the mathematical procedures without delving into WHY. There was an appropriate setting (Lee is planting vegetable and flower gardens) and the diagrams were fine, but this was no better than a typical textbook lesson. The voice over was a woman with an accent (no surprise from Singapore Math!).


Splash Math provides school-type exercises for practice. Modules are available for grade K-5, and there is one version that goes across the elementary grades.





Digital Manipulatives:

Number Line is a very engaging "manipulative" that allows for all kinds of explorations of what you can do on and with a number line, e.g., addition, subtraction, multiplication.  Number Line, by the Math Learning Center on the App Store on iTunes




Thinking Blocks  Thinking Blocks - Model and Solve Math Word Problems Available online also, at
Thinking Blocks - Model and Solve Math Word Problems uses modeling with a part-whole model to support problem solving with basic operations. The presentation begins with a word problem each time. The problems are sufficiently real, the interactive models are engaging, and my test subject was willing to go and go and go on this one, as you can see:

https://drive.google.com/file/d/0B5ADXC5uNLePMEU3X2J3WDljSEE/view?usp=sharing

Here's a screenshot from the multiplication game:



I am much less enthusiastic about the Thinking Blocks Fractions on the App Store on iTunes - Apple.
(If we have time I'll demonstrate why during the workshop.) My issues persisted when I watched the instructional videos. I found myself asking "Why? Why? Why?" throughout.


Dare to Share Fairly provides base 10 "blocks" that can be used to model the sharing meaning of division. I'd use the blocks to act out a division problem, get the answer, and then repeat, connecting each step of the actions on the blocks to the steps in the written long division algorithm. 



Geoboard offers all the fun of the physical geoboard without shooting rubberbands to contend with. The "about" button on the app provides a link to web resources and a web version. I love geoboards because there are so many math concepts you can explore using them.




Tools:

Quick Graph is a graphic calculator with a genuinely helpful User Guide. I think it would be fun for your child to do a lot of free exploration before turning to the guide, in order to get a feel for some of the app's capabilities. 2D and 3D graphing, works with all coordinate systems, solves, equations, etc. I need to spend more time with this one myself--I might spring for the paid version, just to support the development of such an excellent free app. The free version has relatively unobtrusive ads in the bottom left corner of the screen.  Quick Graph: Your Scientific Graphing Calculator on the App Store ...



GeoGebra is, in my opinion, the best of the free dynamic geometry apps currently available. It plays like Geometer's Sketchpad, an expensive bit of software, and there is a wealth of resource material available online (tutorials, youtube videos, blogs, chats) to help you use it effectively.


Or just be filled with wonder. Take a look at this hexagonally-based tessellation: http://tube.geogebra.org/student/m28861.


iPad Apps I tried and deleted:


Aliens and Numbers -- what is available FREE is an opportunity to trace numerals 1 through 9. You can also try other elements which are for sale that are essentially worthless compared with other, better apps and free websites.

doodlenumbers

Absolutist Pocket Tangrams makes a competitive game out of tangrams--you are battling an unseen opponent and the clock. Placement of the piecesinto the outline provided does not require any flips or turns, at least on the levels I explored. The sound is extremely annoying. Turn it off even for a trial.

Tangram Mania

Tangram HD Lite because I couldn't find out how to flip the parallelogram.

Crazy Tangram

 Arithmetic Invaders (very little is available in the free download)

Math Olympiad lets you solve only 6 challenging problems before you have to pay to continue. Otherwise I liked it--the problems were interesting and the answers were explained well.

Math. by Your Teacher contains a set of problems for each topic you choose, and it is very comprehensive. However, digging deeper into the material on "Multiplying Fractions," I watched a video where the teacher was advocating "cross-cancellation" (which is NOT a real math thing!).  The video on "Dividing Fractions" presents the rote rule (invert and multiply) but offers absolutely no rationale. What a wasted opportunity!

Algebalance - It took too long to get going, then the grammatical errors in the text drove me crazy.




Neither here nor there:

Gobblet! plays like the physical game, but if you aren't playing a real friend in real time you might make a move then wait hours, or longer, for your opponent to engage. And I can't tell how much privacy you have to sacrifice to play. To play against a facebook friend, for example, the game receives your public profile and friend list.



downloaded but not yet evaluated:
Minds of Modern Mathematics is a timeline with internal and external links to people and events in the history of math.


Websites with More Ideas for Apps



Best Free Math Apps for Kids (many suggestions for Android)

Features_for_Teachers_2013_October_Newsletter See the feature "Show What You Know" with suggestions for digital tools your child can use for project work across all fields. 









BOOKS

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.

Your child might be interested in doing some challenging problem solving over the summer to maintain and enhance her/his concepts and processes. My own enrichment students LOVE  to work on contest problems. Here are some books you might consider purchasing:


Math Olympiad Contest Problems for Elementary and Middle Schools, Vol. 1 I own and use this one extensively.

The Original Collection of Math Contest Problems: Elementary and Middle School Math Contest problems

MOEMS Contest Problems, Volume 3 (Division E & M) I don't own this book (yet), but I have the contests over the years. The problems are excellent. You can check out their website for free:
Sample Contest

Competition Math for Middle School

Math Olympiad Contest Problems, Volume 2 (REVISED)  I own this and use it with my enrichment students.

For middle school and beyond, please visit the excellent Bookstore - Art of Problem Solving.  I used the competition preparation 2-volume set with my best student several years ago (he has since graduated from Yale) and I was pleased to see how much (pre-calculus) mathematics I learned as we worked through the problems.

Available online:
It is not necessary to spend money to work on contest-level problems. For example, MATHCOUNTS has a user-friendly website with links to Past Competitions | MATHCOUNTS.  Another wonderful resource is American Mathematics Competitions | Mathematical Association of America.

I use Creative Math Problems with my own students--there are links to MANY excellent problem sets.  See also More than 20,000 mathematics contest problems and solutions.


CRAFTS

For a "homelier" activity, try quilt design (which may or may not continue with quilt-making). My granddaughter created her own interpretation of a task, Nine-Patch Patterns, that I found in the book Math By All Means, Geometry Grades 1-2. Using 1-inch squares and the triangles that result from cutting some of them in half, she created this pattern:


As you can see, she chose to use 2x2 rather than 3x3 squares as the basis for her symmetric design, but it was a "free play" activity, so I just asked her a lot of math-y questions while she worked. She found that the triangles were all isosceles right triangles, that two of them could be joined to make a square, a larger triangle, or a parallelogram, and that the blue "tilted" squares down the center of her pattern had an area equal to two of the smaller squares. Productive enough for me! You can find (almost) countless examples of nine-patch quilts online, for example, on Pinterest. Personally, I like the rotational symmetry in this design:



For more on quilting, see my previous blog post about enriching math at home. For an iPad app, try Quilt Studio.


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Friday, March 27, 2015

Join the Decimal Point Police!

You've heard about the Grammar Police, I presume--people who are out there saving the world with correct placements of apostrophes, semicolons, commas, etc.

 For years I have been deeply troubled by misplaced decimals in prices using the ¢ sign. I mean this in all seriousness. This issue got me started as a writer of stories for children that have math at their core.

 People tend not even to notice the errors, demonstrating that they have no comprehension of the meaning of an amount of money  written as .79¢. The error is widespread. I have several photos from real life to prove it.

 So... please read my first story, intended as a read-aloud picture book for children in about grades 3-6, and let me know what you think.  (I'm in an endless loop of revisions!)

 Read it to your children or grandchildren and let me know what THEY think.

 Invite your children or grandchildren to submit illustrations to me, mathmarsha@comcast.net so I can make a "real book" for e-publication.

 Take photos of misplaced decimals in your real life experience (now that you will be noticing the errors) and share them with me via email or by posting to my math mentoring page on facebook:

 Marsha Landau--Mentor for Gifted Math Students

 And now for the story.


Yes, That’s MyMother!





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Monday, October 13, 2014

Preparing for a Halloween Math Parent Workshop

You are a conscientious parent interested in supporting your child's math learning with appropriate activities at home. Halloween is coming. Let's see what you can find among the tens of thousands of internet pages devoted to "Halloween Math."

I'll start with links that emanate from the first page of a Google search for "Halloween math" free.



Some of the pages are seriously flawed, like this one from a website in Samoa.

Halloween Word Problem - Grade 2

There are grammatical errors; the "problem" fails to pose a question before asking for a math equation; it is a simple addition word problem dressed up in Halloween clothing.



Many are just typical busy work pages with pumpkin clip art around the edges--would your child really think this has to do with Halloween?

Grade 2 - Complete the Fact Family (Halloween Theme)


The edhelper.com website looked promising, but most of the pages I was interested in required a subscription. I did like this logic puzzle page (free) which had closer ties to Halloween than most of what I was finding:

Halloween Logic Worksheet

Brandon, Lauren, Kylie, Robert, and Ashley went trick or treating together. They each wore a different costume (a ghost, a pirate, Spiderman, a witch, and a skeleton). At the end of the day, each of them counted the number of pieces of candy he or she collected. They each collected a different number of pieces of candy (63, 77, 83, 54, and 84).

Figure out the costume worn by each person and the amount of candy each person collected. 

1.
  
Brandon was not a pirate.
2.
  
The boys (Robert and Brandon) costumes included a pirate and Spiderman.
3.
  
Lauren and Kylie collected a total of 161 pieces of candy.
4.
  
The ghost collected 77 pieces of candy.
5.
  
The pirate collected 83 pieces of candy.
6.
  
Ashley and Lauren collected a total of 140 pieces of candy.
7.
  
The witch collected the most pieces of candy.

(I corrected the grammatical errors, and made sure it could be solved using the given clues.)



Sometimes, using Halloween-themed pictures IS enough. See this pattern recognition page for pre-schoolers:
Halloween Pattern Recognition Worksheet | Classroom Jr.


Getting frustrated at the lack of quality, I decided to use NCTM as a search term (National Council of Teachers of Mathematics). Of course that produced pages where I had access only because I am a member.

One of the articles referred to a book, The Thirteen Days of Halloween, (a variation of The Twelve Days of Christmas), which presents a problem solving situation.


A ghoul attempts to court his "ghoulfriend" by bringing her gifts.
On the first day of Halloween, he gives her a vulture in a dead tree. 
On the second day, he gives her two hissing cats and a vulture in
a dead tree. The pattern continues on subsequent days, adding 
three fat toads, four giggling ghosts, five cooked worms, 
six owls a-hooting, seven spiders creeping, eight brooms a-flying, 
nine wizards whizzing, ten goblins gobbling, eleven bats
a-swooping, and twelve cauldrons bubbling. On the thirteenth day 
of Halloween, the ghoulfriend invites her suitor to tea and gives him 
a real, live mystery gift.


Many questions can be posed. What is the total number of gifts each day? altogether? How many vultures (or cats, or toads, etc.) altogether?

It is rich with possibilities!


A free link at pbs      http://pbskids.sproutonline.me/cyberchase/parentsteachers/lessons/pdf/halloween/CYB_Halloween_Tips_for_Parents.pdf        
had suggestions for parents similar to those I've put together.

(check back later)
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