Category Archives: diskii

posted on April 3, 2020

From my years of teaching elementary school, a few ideas come to mind on what are essential skills for young people to learn. They are presented here, in no particular order:

  • the ability to substantiate and articulate your thinking and viewpoint
  • the ability to negotiate and work within a group
  • the ability to take information from one place and use it in another
  • the ability and fortitude to try something and rework it to make it better
  • the ability to try something new
  • the capacity and interest to learn about the world
  • the interest in connecting in-school learning to the ‘real world’
  • the opportunity to be both teacher and learner

Finding few engaging manipulatives attached to curriculum to achieve these goals, I have co-developed several products for hands-on collaborative learning in a variety of settings: the classroom, in after-school activities, in homeschooling, and in summer camps. These products offer open-ended opportunities for students to experiment with curriculum supported ideas and creative-free-thinking. They offer the possibility for students to teach and learn from each other, taking time to listen and contribute while using visually stimulating hands-on materials.

The first, the intooba construction kit for K-6, (www.intooba.com) is designed for hands-on collaborative learning in STEM/STEAM engineering and math. Rods and connectors are used to solve over 25 engineering challenges, each with several levels of complexity. A math manual is provided to support common core concepts such as shapes, measurement, and estimation.

Our challenging engineering projects encourage collaborative learning in designing, constructing, and budgeting.

diskii math (http://www.diskii.com) is a hands-on math manipulative for grades 1-5. Our instructor manual offers ideas on learning such topics as algebra, logic, fractions, and decimals, and is based on common core standards. Students may learn both as teacher and student when working collaboratively with diskii tokens. Each token is associated with a unique name, color, and face offering three variables for problem creators.  Users can vary the complexity of the product by assigning an age-appropriate value to each token when creating challenges. We have developed both physical and downloadable token sets.

All of our materials require minimal instruction to set-up and use. No professional development is required for these easy-to-understand products which are supported by instructor and student manuals where appropriate.

posted on December 17, 2018

Through the use of classroom manipulatives, we can encourage a wide range of thinking and questioning at the elementary level. Using sets of diskii where each of ten tokens has a unique name, face, and color, we can avail students of opportunities to work collaboratively to solve hands-on problems. The opportunity exists to vary the complexity of the challenge according to the topic or grade being taught.

In a very simple example, consider the equation 3+4=7. We could ask students what 3+4 equals. There is one finite answer. However, using diskii we can ask what the possible values of the tokens are if: token + token = 7. Already, the complexity of the challenge is increased. Alternatively, we could set the value of one token at 3, and ask what the value of the remaining token is if: token + token = 7 given that one token has a value of 3. Here, students have to retrieve information and apply that knowledge (two critical learning skills) to solving the problem.

diskii HERE

posted on November 26, 2018

I was always concerned in my elementary classrooms when I realized that my students principally saw only finished product in their lives – film, novel, technology, building, business. When are young students these days ever exposed to process other than through concerted efforts on the part of educators to show, for example, how stories are deliberately constructed? Children meeting professional authors offers an essential insight into how ideas are formed, massaged, written down, and ultimately formed into a story through diligent effort and many re-writes. Such is another limited example of students seeing process. In previous times, children were directly involved in family businesses or farming where they were personally involved in the process of production. How does something start, and how do people get it to completion? Not knowing how to connect a topic of study to its practical outcome in the ‘real world’ could lead students to question its relevance to them.

Some of the steps involved in what I will call “the creation of something” are:

– the idea itself
– is it a good idea or not? What are its benefits to me or others?
– is the idea an adaptation? I need to draw information from various sources
– working the idea to a place where it can be explained to others
– seeing if the idea already exists, and if/how this impacts our moving forward
– ascertaining what we need to complete the project
– getting others to cooperate in the execution of the project
– assembling the resources to complete the project
– trying and failing
– trying again and failing
– not getting despondent and keeping resources focused on the project
– trying again, and hopefully succeeding

These are but a few steps in general idea and project conception, process, and completion.

In elementary mathematics, providing opportunities for students to use their hands and minds in a cooperative learning environment are somewhat limited. To that end, we have invented two products for elementary education which help children work physically towards solutions either individually, or in groups.

Aspects of our manipulative products are discussed below:

intooba – intooba HERE

This K-6 construction manipulative offers many lessons in both specific mathematical concepts such as shapes, estimation, and fractions and in engineering challenges. In math, we provide a spiraled program offering teachers instructional ideas in many math concepts. In engineering, we offer students over 25 construction challenges each with varying levels of complexity.
This is hands-on work asking for actionable solutions through construction and mathematics. Resource constraints such as assigning a project budget and input costs makes this learning very relevant.

diskii – diskii HERE

This K-4 manipulative offers students and teachers opportunities to explore mathematical concepts hands-on either individually or in groups. Our ten tokens (essentially representing 0-9) have unique names, faces, and colors offering many layers of complexity in problem construction. Instructional possibilities include logical reasoning, understanding the equals sign, and substituting a token for an unknown algebraic quantity x as in: token + 4 = 10 for lower grades.

Drawing on information to solve a problem is a critical skill. Using diskii, equations can be created where certain token values are given, and students have to use this information to solve for the unknown tokens.

We have created these advanced thinking manipulatives with lesson support to offer easy-to-implement hands-on group problem solving opportunities we feel are unavailable in many physical manipulatives available in classrooms today. We focus on fun, creative visual challenges making math relevant in concrete ways to elementary learners.

In our manipulatives, we are diligently focusing on process as an integrally important part of learning. Students work cooperatively with their hands and minds to solve challenges.
In this environment, drawing on spiraled learning, students have opportunities to produce increasingly complex product through their own efforts.