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Working in the preschool setting we use manipulative a lot my student need to have a hand on experience.
1) Counting bears- in the p-k this can be used for counting, sorting colors, and identifying colors.
2) Gummies- This can be using to identify shapes, size and colors.
3) Money- Mostly Pennies are used in a token system for students (token board)
4)-Number line- helping students count.
5 )Fingers- giving the child the opportunity to use their fingers to count.

http://nlvm.usu.edu/en/nav/grade_g_1.html

https://www.themeasuredmom.com/math-with-counting-bears/

https://starautismsupport.com/curriculum/star-program

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Troy Larson
Although I couldn’t get the NLVM site to work (Java error) I think the most useful manipulatives for my students would be the number and operations: dueling calculators, fractions (adding and equivalent), percentages, and turtle geometry.  I teach a financial literacy/independent living class to 12th graders and these seems to be the basis for understanding the applications of math that pertain to budgeting, interests rate, calculating deductions, etc.  These other sites I found also had good information: Website from Australia – a lot of material aimed at indigenous students and useful for SpEd. I particularly liked and plan on using the money-value power point, representing written number descriptions into number format, and purchasing items being broken down into one, tens, and hundreds. https://research.qut.edu.au/ydc/resources/student-learning-resources/number-and-operations-finance-and-virtual-manipulatives/ www.didax.com   This site had some useful manipulatives.  The ones I found most promising were the # lines, base 10 blocks, plac
e value disks, 120# board, and math balance.

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Jacqueline Cunningham
I have taught a range of grades for many years, but have taught many classes of math. We I started my teaching career in the 1990's we had a computer lab with a few math games for students to access but not the online manipulatives found for students today. I really enjoyed searching through the National Library of Virtual Manipulative and playing with different resources.  I had to use my explorer browser to access this website.
1. Numbers and Operations: There were several of these programs I can easily use with my math lesson on fractions. The Fraction Pieces, Fraction Adding, Comparing, and Equivalent will be great resources. These programs will provide my students with the visual they need to work with fractions.
2. Algebra: I mainly like the Factor Tree because it shows how to break down a number to the lowest term.
3.  Geometry: My favorite of these was the Tangrams. These Chinese puzzle pieces will help students work with angles and shapes.
4. Measurement: Lady Bug Leaf and Maze will help my students understand the concept of programming and help them with using the Ozobot activity.
5. Data Analysis and Probability: The Spinners Chance and Random Choices is a great way to understand probability. After working with this activity students could then work to create a math game using a spinner.

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Fractions Part of a Whole was the one manipulative that I was particularly fond of on NLVM, and I plan to make an activity out of it for my 8th grade students to help build fraction skills.

The Factor Tree on NLVM will also help my 8th grade students find factors for numbers; and ties in with a focus in my math class (common multiples). It also takes some of the frustrating guess work that many of my students have with factors and common multiples.

The Ladybug Hide behind leaf on NLVM will be good practice for the Ozobot. I actually plan to use this more as an activity to have them do the ozobot without actually having to buy a ozobot for every student in class.

Human Fingers are one of the most useful manipulatives there are. You can use them to add or subtract. They are a very understated, basic manipulative; but probably the one I use the most in my class.
Calculators are, I would argue, a manipulative.  You manipulative numbers that you enter into a calculator and get an answer based on those numbers. Whenever a student asks "Why do I have to use _______?" Other students don't use these." I say they use calculators; and that's basically the same concept. They use a tool that they manipulate to help solve math questions.

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As part of the collaborative process you need to

1. Make a list of the online manipulatives you like from both school and home.

2. Highlight the 5 manipulatives you like the most from both school and home.

For me personally, I prefer to use hands on manipulatives. This class was my introduction to online manipulatives and I saw some that I know we use in the classroom at school. Fraction tiles, base tens blocks, number puzzles, math rods, tanagrams, pentominoes, and others that I will probably remember after I post this.
After exploring the National Library of Virtual Manipulatives I found a few programs that I thought would work well for some of my students.
1. A spinner that records the results of the spins to show probability
2. Ladybug Mazes: teaching students about the basics of coding while trying to navigate a maze. I like this one because it helped me get used to some of the ideas that we would be using for the Ozobots before I tried it out.
3: Platonic Solids: I love this program because it allows students to manipulate and explore regular polyhedra and manipulate whether it is a solid shape or a wire frame. This can be especially useful for integrating math and art through modeling 3D images.
4: Towers of Hanoi: a challenging, but fun puzzle game that looks much easier than it is. Students put their problem solving and strategy skills to the test while unknowingly working on skills in algebra.
5: Fractions - Adding: I always struggled with adding fractions when the denominators were different, but this program illustrates the process behind the problem in a way that is simple to understand.

All of my online manivulatives were sourced from the National Library of Virtual Manipulatives.

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As part of the collaborative process you need to

1. Make a list of the online manipulatives you like from both school and home.

2. Highlight the 5 manipulatives you like the most from both school and home.

Online Manipulatives:

Although I haven’t had the chance to use online manipulatives with my preschool students, when I was in my undergrad, I took a course on teaching math to elementary students and was able to access a few interesting sites. I would have to go back and look for the specific links, but I will list the few that I remember!

1. http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html

1. This is a virtual manipulative site with several different manipulatives in one spot. You have the option to select a grade level and a “background” such as a number line, blank calendar, 10 frame, etc. Then you can choose a variety of manipulatives from a drop down menu. There is also an option to use a ruler, stopwatch, protractor, or timer. You can draw, write, and print the screen when you are finished.

2. https://www.abcya.com/

1. While I don’t believe this counts as an online manipulative, another site that was introduced to me in college and used during my student teaching is “ABCya!”. This is a website with games for kids that focus on learning. The literacy and math games are simple, but require focus and problem solving skills.

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

1. This site is similar to the Glencoe site with several different manipulatives and options for problem solving. The one I used the most from this site was the geoboard. The categories are broken up into lists by grade and topic for easy access.

Hands-On Manipulatives:

Math instruction for my students involves matching or identifying colors, shapes, and numbers, copying AB or ABC patterns, sorting objects, and other foundational math tasks. Some manipulatives that I like to use and that keep students engaged are:

1. Colorful bears, dinosaurs, vehicles, etc. that students can sort by color, size, etc.

2. Tangrams that students can match to a card to create a picture or pattern

3. Popsicle sticks that students can sort, match, or build with

4. Small foam or wooden blocks that students can copy a structure with

5. Wooden inset number puzzles

6. Math games such as go-fish, dice games, or other card matching games

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Heather Saltzman Online math manipulatives

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Heather Saltzman Online math manipulatives

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Didax math manipulatives on-line have unifix cubes, geo boards, base 10 blocks, ten frames, number lines, rekenrek, two color counters, number boards, color tiles, math balance, dice, spinners, pattern blocks, place value disks, prime factor tiles and algebra tiles.
The 5 I like the most are didax
1-dice. The online dice manipulative is simple to use. Drag dice to the board and roll. Great for practicing addition.
2-Number lines bu didax. Pick a number for the numberline to start and end. Use the number line to click on a number and drag to another number. The number line draws a visual arc and tells the number of spaces jumped. For example jump from 2-6 and the arc will say +4.
3-Color counters on line math manipulative from didax. Visual for adding and subtracting.
4-Pattern blocks online manipulative also from didax. Drag colorful blocks to create a pattern. Use as a teaching visual or have students create their own on their computer.
5-Base 10 blocks. The visuals of base 10 without all the pieces. A great visual teaching tool from didax or have the students work with them on their own computers.

https://www.didax.com/math/virtual-manipulatives.html

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I have not used online manipulative.  I did research and found some that were interesting.  Non online math manipulatives I like: 1) Fraction Tiles- The visual fraction tiles help students be able to see how to convert fractions.

2) Abacus- Builds mental math and a good visual for 5s and 10s.  It can be used for place value, counting, skip counting, and adding

3) Popsicle Sticks- good for tally marks, counting, bundling in groups of 10

4) Counting Bears/Dinosaurs- There are so many uses.  Patterns, counting, grouping, adding/subtracting

5) 1inch tiles- same as #4- There are so many uses
Online ones: Math Playground: fraction percent, decimal scale and factor tree Tangram app: Tangrams

https://itunes.apple.com/us/app/my-first-tangrams-for-ipad/id363843653?mt=8

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As part of the collaborative process you need to
1. Make a list of the online manipulatives you like from both school and home.
2. Highlight the 5 manipulatives you like the most from both school and home.