BASE 10 BLOCKS
Hands On Math: Base 10 Blocks is a virtual manipulative app that allows you to explore both whole number and decimal place value using the familiar base ten blocks. It also allows for addition and subtraction of numbers with and without regrouping. It is limited to 3 digit numbers from 100s through to hundredths. It works through simple dragging and dropping of block into a work space and the values are automatically generated as you build the numbers.
A useful feature is built in that allows for groups of smaller values to automatically transfer into the higher value accompanied by an arrow that shows where the values transfer to. (e.g. when you make 12 tens in the tens place, it will change 10 tens into a hundred and leave the remaining 2 tens intact). This works in the decimal format as well.
I’m not suggesting we do away with the physical block usage as many younger mathematicians in training need to manipulate physical models. Where digital virtual manipulative excel is in instant feedback, quick turnaround of use, instant access and reuse and unlimited resources (we often run short of blocks in whole class settings, besides for 1,000 blocks they cost about $100, this app only cost $1.99.) Together with discussion with a teacher on a one to one or small group basis while manipulating the virtual blocks.
I see this as a good tool for working with at risk students. I like that the app allows for the use of decimal place value as well, even though here is a school of thought that we should use different models for decimal place value. Me personally, I like to maintain the link between the base 10 system across whole and decimal numbers to show the consistent relationship. School students are eventually going to only be using the IPad in the classroom and physical textbooks with be no more. So if we start out in kindergarten teaching these type of 21st century skills then everyone benefits.
Using Hands-On Math: Base Ten Blocks students can develop the following important mathematical concepts:
- Place value concepts
- Regrouping in the ones, tens and hundreds places
- Basic operations: addition and subtraction
- Naming numbers
- Expanded notation
- Reading and writing numbers

Base Ten Blocks are a very useful way for student visualize images of numbers, intuitively understand place value and deepen their understanding of addition and subtraction. Use Base Ten Blocks to have students represent numbers, as well as read and write the numbers. Rules for regrouping can be difficult for children. Use Base Ten Blocks to illustrate regrouping by dragging and dropping blocks from one column to another.
These activities on this app have been developed for elementary and middle school age children and are arranged by order of grade level where the concepts are typically introduced. As teachers we will want to decide what is the best sequence for using the materials with their particular group of students. Each lesson is aimed at specific mathematical objectives including counting, representing numbers using the place value system, addition and subtraction with regrouping. Each activity is meant to be a beginning. Teachers will want to encourage the children to explore extensions of each activity with different examples. Orally discussing each activity will help to foster higher level thinking. Hands-On Math: Base Ten Blocks is a starting point. Learning should be fun and as students work with the app, hopefully this will help students and they will begin discussing, sharing and creatively exploring mathematics.
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