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Braille Division Demystified!

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Lesson Plan

Braille Division Demystified!

Students will be able to recognize and understand the basic concepts of long division using UEB Braille, and apply the steps of long division to simple problems with the aid of an abacus or tactile graphic display.

Understanding long division is a fundamental math skill. For blind students, learning it in Braille opens up a world of mathematical independence and problem-solving, while for sighted students, it promotes empathy and understanding of diverse learning methods.

Audience

6th Grade Students (with a focus on accessibility for blind students)

Time

15 minutes

Approach

Direct instruction, tactile exploration, and guided practice.

Materials

Whiteboard or projector, Markers, Slide Deck: Braille Division Basics, Script: Braille Division Introduction, Perkins Brailler, Braille paper, UEB Braille code reference sheet (if available), and Abacus or tactile graphic display (for the blind student)

Prep

Teacher Preparation

10 minutes

  • Review the Slide Deck: Braille Division Basics and Script: Braille Division Introduction.
  • Ensure Perkins Brailler, Braille paper, UEB Braille code reference sheet, and abacus/tactile graphic display are ready.
  • Practice writing simple division problems in UEB Braille if unfamiliar.
  • Prepare a simple long division problem to demonstrate (e.g., 24 ÷ 2) both visually and in UEB Braille.

Step 1

Introduction (2 minutes)

2 minutes

  • Greet students and introduce the day's topic: Long Division! Explain that today we'll look at it in a special way.
  • Briefly mention the importance of understanding different ways to represent math, especially for accessibility.
  • Use Slide 1: Braille Division Basics to introduce the topic.

Step 2

What is UEB Braille for Math? (3 minutes)

3 minutes

  • Explain that UEB Braille is a versatile code that can be used for math and science for blind individuals, especially with specialized extensions or context.
  • Show examples of basic numbers and operation signs in UEB Braille (e.g., plus sign, equals sign) using Slide 2: What is UEB Braille for Math?.
  • For the blind student, verbally describe the tactile representation and allow them to feel examples if a tactile graphic display is available.

Step 3

Long Division Steps in Braille (5 minutes)

5 minutes

  • Introduce the basic steps of long division (Divide, Multiply, Subtract, Bring Down - DMSB).
  • Show how these steps are represented in UEB Braille using Slide 3: Long Division Steps.
  • Verbally walk through a very simple problem (e.g., 24 ÷ 2) on the board (for sighted students) and simultaneously demonstrate on the Perkins Brailler or tactile display (for the blind student), explaining each UEB Braille symbol.
  • Teacher Note: Emphasize that the layout in Braille involves careful spacing and organization, often done on a Braillewriter or using an abacus.

Step 4

Guided Practice & Discussion (4 minutes)

4 minutes

  • Present a new, simple problem (e.g., 36 ÷ 3).
  • Ask students (both sighted and blind) to think about how they would set it up. Encourage the blind student to use their abacus or Braille tools to consider the layout.
  • Lead a quick discussion on the similarities and differences in how long division looks and feels in visual math vs. UEB Braille, using Slide 4: Practice Time!.
  • Address any immediate questions.

Step 5

Conclusion (1 minute)

1 minute

  • Briefly summarize that UEB Braille allows blind students to do all the same math, just in a different format.
  • Encourage respect for diverse learning tools and methods.
  • Thank students for their engagement. Use Slide 5: You Did It!.
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Slide Deck

Braille Division Basics!

Unlocking Long Division for Everyone!

  • What is long division?
  • How can we make it accessible?

Welcome students and introduce the exciting topic of long division, emphasizing that we'll be exploring it in an accessible way today.

What is UEB Braille for Math?

A Versatile Code for Math

  • UEB Braille can be used for math and science, often with specialized contexts or extensions.
  • It helps blind students read and write complex equations.
  • It uses specific symbols for numbers, operations (+, -, x, ÷), and formatting within a mathematical context.

Explain what UEB Braille is and its importance for math and science, especially with mathematical contexts. Show basic examples of numbers and operation signs. For the blind student, describe the tactile nature and, if possible, allow them to touch examples.

Long Division Steps in Braille

Divide, Multiply, Subtract, Bring Down (DMSB)

  1. Divide: How many times does the divisor go into the dividend?
  2. Multiply: Multiply the quotient digit by the divisor.
  3. Subtract: Subtract the product from the part of the dividend.
  4. Bring Down: Bring down the next digit.
  • In Braille, careful spacing and specific symbols help organize these steps!

Introduce the DMSB steps (Divide, Multiply, Subtract, Bring Down). Show how these are represented visually and, for the blind student, explain how they are structured in UEB Braille, possibly demonstrating on a Brailler.

Practice Time!

Let's Try One!

  • Problem: 36 ÷ 3
  • How would you set this up visually?
  • How would a blind student approach this with Braille tools?

Present a simple problem. Encourage both sighted and blind students to think about the setup. Facilitate a discussion on the differences and similarities between visual and Braille long division.

You Did It!

Math is for Everyone!

  • UEB Braille makes all math accessible.
  • Different tools, same amazing math!
  • Keep exploring and learning!

Conclude by reiterating the power of UEB Braille for mathematical independence and fostering an appreciation for diverse learning methods.

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Script

Braille Division Introduction Script

Introduction (2 minutes)

(Teacher says) "Good morning, mathematicians! Today we're going to dive into a very important math skill: Long Division! Who here has heard of long division before? Maybe even tried a problem or two?"

(Teacher says) "Fantastic! Long division helps us share large numbers into equal groups. It's a superpower for solving problems! Today, we're going to explore long division in a super inclusive way, making sure everyone understands how amazing it is. We'll be focusing especially on how we can do long division if we are using Braille, which is a really important way to make math accessible for everyone."

(Teacher says) "Let's get started with our first slide: Braille Division Basics!."

What is UEB Braille for Math? (3 minutes)

(Teacher says) "Alright class, on the screen now is Slide 2: What is UEB Braille for Math?. For those who can see, you'll see the title 'What is UEB Braille for Math?' and some bullet points. For our blind students, UEB Braille is a versatile code that can be used for writing math and science. It uses the same Braille cells you might be familiar with, but with unique symbols for numbers, operations like addition, subtraction, multiplication, and yes, division, often within specific mathematical contexts!"

(Teacher says) "Think of it like a secret code that unlocks all the mysteries of math for blind individuals. It allows them to read, write, and solve complex problems independently. For example, the UEB Braille symbol for 'plus' looks like this [verbally describe if tactile graphic display not available, or allow student to feel if it is]. And the 'equals' sign looks like this [verbally describe/feel]. It helps organize mathematical expressions in a way that can be understood by touch."

Long Division Steps in Braille (5 minutes)

(Teacher says) "Now, let's get to the heart of long division. On Slide 3: Long Division Steps, we see the familiar steps of long division, often remembered by the acronym DMSB: Divide, Multiply, Subtract, Bring Down. Let's break down a simple problem using these steps, and I'll show you how it works both visually and in Braille."

(Teacher says) "Let's take the problem 24 divided by 2. Visually, we set it up with the divisor (2) outside the division symbol and the dividend (24) inside. In Braille, for a complex multi-line calculation like long division, students typically use Nemeth Braille, which is a specialized code for mathematics. Nemeth provides a clear, standardized way to represent the spatial layout of problems, including the division box and how numbers align for each step. While UEB Braille is used for literary text and basic math, Nemeth is essential for these more advanced and structured calculations. For the purpose of demonstration today, we will focus on the steps of long division, understanding that the Braille representation for the blind student would follow Nemeth Code conventions for precise layout."

(Teacher demonstrates on board/projector and simultaneously on Perkins Brailler or tactile display, describing the visual layout and verbally explaining how each step would be represented conceptually in Braille without going into specific UEB layout details for the full long division problem)

(Teacher says) "First, Divide: How many times does 2 go into 2? One time. We write '1' above the 2. In Braille, this '1' would be placed in the quotient's position."

(Teacher says) "Next, Multiply: 1 multiplied by 2 is 2. We write '2' under the first 2 of the dividend. In Braille, this product would be positioned carefully below."

(Teacher says) "Then, Subtract: 2 minus 2 is 0. We write '0' below. Again, in Braille, this subtraction result is recorded in its proper place."

(Teacher says) "Finally, Bring Down: We bring down the next digit, which is 4. Now we have 4. We repeat the steps. How many times does 2 go into 4? Two times. So we write '2' next to the 1 on top. In Braille, this '2' would extend the quotient."

(Teacher says) "Multiply: 2 multiplied by 2 is 4. We write '4' under the 4. Subtract: 4 minus 4 is 0. We have no more digits to bring down, so our answer, or quotient, is 12."

(Teacher says) "Notice how, whether you're looking at it on the board or feeling it in Braille, the steps are the same, but the way we organize and represent the numbers is adapted for the medium."

Guided Practice & Discussion (4 minutes)

(Teacher says) "Okay, your turn to think! Look at Slide 4: Practice Time!. Our new problem is 36 divided by 3. Think for a moment, how would you set this up? For those of you working visually, picture it on your paper. For our blind student, imagine using your abacus or Braille tools to lay out this problem. What would be the first step?"

(Teacher encourages students to share ideas and guides them through the setup and initial steps)

(Teacher says) "Excellent thoughts! What are some similarities you noticed between doing long division visually and thinking about it in Braille? What are some differences in how you actually record or read the steps?"

(Teacher facilitates a brief discussion, ensuring all students feel included and their perspectives are valued. Addresses common questions about the Braille layout or symbols.)

Conclusion (1 minute)

(Teacher says) "You all did a wonderful job today exploring long division! On Slide 5: You Did It!, you see a celebratory message because you truly did a great job today! Remember, math is a universal language, and tools like Braille ensure that everyone can speak it fluently. It's so important to understand and respect the different ways we all learn and interact with the world, especially in subjects like math. Keep up the great work, and I'll see you next time!"

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