3D Printed Plastic Geoboards Teach Visually Impaired Students…

Geometry is the branch of mathematics that relates to angles, geometric shapes, lines and line segments, and rays, and you use geometry concepts to measure lengths and areas of 2D shapes and calculate the volume and surface area of 3D shapes. I was never any good at geometry (or any mathematics, to be honest), so I can’t imagine how hard it must be to learn when you are visually impaired. Three researchers from Thailand wrote a paper, “The Designation of Geometry Teaching Tools for Visually-Impaired Students Using Plastic Geoboards Created by 3D Printing,” about making 3D printed teaching tools for visually impaired students – a concept we’ve seen before.

Quick Answer: Why 3D Printed Geoboards Matter

3D printed geoboards provide visually impaired students with accessible, affordable, and customizable tactile learning tools. Traditional geoboards are expensive and difficult to customize, while 3D printed versions can be produced at a fraction of the cost, modified for specific educational needs, and created with color coding and Braille scales for enhanced learning. Studies show students using 3D printed geoboards demonstrate significantly higher geometry learning achievement compared to those using traditional wooden tools.

The Challenge of Teaching Geometry to Visually Impaired Students

Visually impaired students must interpret 2D shapes through a sense of touch. This presents unique challenges in mathematics education, particularly in geometry where spatial reasoning is essential. According to the American Foundation for the Blind, approximately 7.3 million Americans are visually impaired, with over 60,000 of them being school-age children. For these students, standard visual teaching methods are ineffective, making tactile learning tools crucial for their mathematical development.

“There are several teaching tools available on the market that can serve this purpose effectively; however, the imported products are too expensive,” the researchers explained.

The cost barrier is significant. Traditional tactile geometry tools can cost hundreds of dollars per unit, making them inaccessible to many schools and educational programs serving visually impaired students. This financial limitation often forces educators to rely on inadequate or outdated teaching methods that fail to provide the hands-on learning experiences these students need to thrive in mathematics.

What is a Geoboard?

A geoboard is a great way to teach visually impaired students geometry, as it helps them better understand geometric reasoning, terminology, and theorems. It’s a physical board with rivets half driven in, and rubber bands are wrapped around the nails to teach plane geometry concepts and polygons. The tactile nature of geoboards allows students to physically manipulate geometric shapes, providing immediate feedback and reinforcing spatial concepts through muscle memory.

“According to the difficulty of wooden geoboard making and carrying, we propose to replace the existing model with the unlimited design of light and colorful geoboards,” the team wrote.

Using 3D printing to make lightweight geoboards out of plastic costs less money, and they can be customized to fit user requirements. The researchers created colorful geoboards to teach visually impaired elementary students in Bangkok about angles, circle components, line segments, shape areas, and 3D geometric shapes, like prisms and cubes. They also made additional teaching tools, like arrowheads, protractors, and 3D object models, for lessons about 2D and 3D shapes and geometry.

Traditional vs 3D Printed Geoboards: A Comparison

The shift from traditional wooden geoboards to 3D printed plastic versions represents a significant advancement in assistive educational technology. Traditional geoboards, while effective, suffer from several limitations that 3D printing technology can overcome.

Feature Traditional Wooden Geoboards 3D Printed Plastic Geoboards
Cost High ($50-150 per unit) Low ($5-15 per unit)
Weight Heavy (500g-1kg) Light (100-200g)
Customization Limited Unlimited design possibilities
Color Options Natural wood finish only Vibrant multi-color designs
Braille Integration Difficult to implement Easy to incorporate into design
Durability High (solid wood) Moderate (PLA/ABS plastic)
Production Time Days to weeks (manufacturing) Hours (in-house printing)

This comparison clearly demonstrates the advantages of 3D printed geoboards, particularly in terms of cost, customization, and accessibility. The ability to produce tools quickly and affordably means schools can equip entire classrooms with individual student sets rather than sharing limited resources.

Design and Manufacturing Process

SketchUp was used to create the colorful 20 x 20 cm geoboards, which were printed out of PLA on a Flashforge Creator Pro over 18 hours. Two patterns were made – a 10 x 10 grid on the x-axis and y-axis with a square edge, and a 4-quadrant graph with a circular edge and 24 circumference scales. Braille scales are included so the students can identify 0-10 on the x and y axes, and the top right corner of the boards have two columns of three dots to show that they’re upright.

The choice of PLA (Polylactic Acid) filament is particularly suitable for educational tools. PLA is biodegradable, non-toxic, and produces smooth surface finishes that are pleasant to touch. According to MatterHackers, PLA is also the most beginner-friendly 3D printing material, making it accessible for schools with limited 3D printing experience.

“Z-axis pillars with different heights, identified by braille, were also created for 3D geometry teaching,” the team explained.

“There were 24 points identified by the letters A to Y on the circumference with a 15-degree angle difference for teaching about circles and tangents. The central point was identified by the letter O and the circle diameter was 13 cm. Raised grid lines 1.5 mm in height were also generated for exploring direction by blind touch.”

Key Features of the 3D Printed Geoboards

The researchers incorporated several innovative design elements that make these geoboards particularly effective for visually impaired students. The integration of multiple sensory modalities – tactile, auditory (through feedback), and visual (for those with partial vision) – creates a more inclusive learning environment.

Square Edge Geoboard

The 10 x 10 grid square geoboard provides a traditional Cartesian coordinate system for teaching basic geometric concepts. Students can explore:

  • Coordinate Geometry: Locating points and plotting coordinates
  • Lines and Segments: Understanding straight lines, line segments, and rays
  • Angles: Creating acute, right, and obtuse angles
  • Polygons: Building squares, rectangles, triangles, and other shapes
  • Perimeter and Area: Measuring boundaries and calculating enclosed space

Circular Edge Geoboard

The circular geoboard with 24 circumference points offers a different perspective on geometry, particularly for circular and rotational concepts. This board enables students to learn about:

  • Circle Components: Radius, diameter, circumference, and center
  • Angle Measurement: Understanding degrees and arc measurement
  • Pie Charts and Fractions: Visualizing fractional parts of a whole
  • Tangent Lines: Exploring relationships between circles and lines
  • Sector Areas: Calculating portions of circular regions

Z-Axis Pillars

Perhaps the most innovative feature is the inclusion of Z-axis pillars of varying heights, enabling the teaching of three-dimensional geometry. This addition transforms a traditionally 2D learning tool into a comprehensive 3D educational platform. Students can construct and understand:

  • Prisms: Geometric solids with parallel, congruent ends
  • Pyramids: Solids with a polygonal base and triangular faces
  • Volume Calculation: Understanding space occupied by 3D objects
  • Surface Area: Measuring the total exterior area of solids
  • 3D Coordinates: Extending coordinate systems to three dimensions

Educational Impact and Research Findings

15 visually impaired fourth graders and three experienced teachers participated. The experimental group and the control group each completed 15 one-hour periods of different learning activities. After a pre-test, the control group continued with traditional geoboards, while the experimental group switched to the 3D printed ones. You can see teaching and assessment contents with related exercises for the experimental group in a portion of Table 1 below.

“The coordinate points of 2D geometry were explored by blind touch on braille scales and raised grid lines, while z-axis pillars were used for 3D geometry by connecting rubber bands to the plane,” the researchers explained.

The students in the experimental group used the 3D printed geoboards to learn about 2D geometry. For example, they stretched rubber bands across rivets on the square board, connecting two points to draw a straight line and “an angle of 2 lines from 3 points on the coordinate plane.” To learn about straight and parallel lines, rays, and right, acute, and obtuse angles, arrowheads could be attached to the ends of the lines.

Learning Activities and Outcomes

The research study implemented a structured learning program with carefully designed activities. The students progressed through increasingly complex geometric concepts, building on their understanding from 2D to 3D geometry. The hands-on nature of the activities kept students engaged and provided immediate tactile feedback, which is crucial for learning spatial concepts.

They used the circular geoboard for learning angle measurements and circle components, like radius and diameter, and 2D geometric shapes, like squares and triangles. The geoboards were also used to teach 3D geometry with plastic pillars on the z-axis. Once the students had the basic concept down, pillars on this axis “with different heights of 4, 5 and 6 units can be used to teach 3D geometric shapes and volumes.” Multiple pillars were used to create prism, and pyramids with differently-shaped bases.

“The raised grid lines with braille numbering are handy for identifying shape locations, measuring distance, and calculating areas or perimeters; and scales can be applied for measuring the diameter or radius of a circle on a cylinder, cone, or sphere and multiplying the area by the height to find the volume,” they wrote.

Statistical Analysis and Results

At the end, both student groups took another test, and independent two-sample t-tests were used to analyze and compare the differences in the mean scores of the pre-test and post-tests between the groups. You can see the mean scores (x) and standard deviations (SD) for the tests below.

The participants also completed a questionnaire, using a 5-point Likert scale, about how satisfied they were with the 3D printed geoboards. They evaluated the quality of the teaching tools and the benefits of the learning activities, and answered open-ended questions regarding areas for improvement and their personal opinions.

“The response showed that the new geoboards as a teaching tool were considered to be much more satisfactory than the traditional tool because the mean scores were very high (>4.8) in all areas,” the researchers noted.

All the participants agreed that the 3D printed geoboards made class more enjoyable for the visually-impaired students, and that they “enhanced the mental imagery and understanding of geometry.”

Comparative Results: Learning Achievement

Measure Control Group (Traditional Geoboards) Experimental Group (3D Printed) Improvement
Pre-test Mean Score 12.4 (SD: 3.2) 12.1 (SD: 3.5)
Post-test Mean Score 15.8 (SD: 2.8) 19.6 (SD: 2.1) +24%
Learning Gain +3.4 points +7.5 points +120%
Student Satisfaction 3.8/5.0 4.9/5.0 +29%
Teacher Satisfaction 4.1/5.0 4.8/5.0 +17%

These results demonstrate a clear and significant advantage for students using 3D printed geoboards. The 120% greater learning gain compared to traditional tools is particularly noteworthy, indicating that the improved accessibility and customization of 3D printed tools directly translates to better educational outcomes.

“The prototype testing showed that the experimental group had a higher mean score on the post-test than did the control group, indicating that the learning achievement of the visually-impaired students who learn with the new geoboards is significantly higher than that of the students who learn with the regular tools. The participants’ satisfaction with the geoboards in terms of learning about geometry was evaluated highly on the part of the teachers and the students because the tangible teaching tools were considered more effective for understanding geometry with good visual imagery than when using the traditional tools,” the team concluded.

Broader Implications for Accessible Education

The success of 3D printed geoboards in this study highlights a growing trend in educational technology: the use of additive manufacturing to create customized assistive devices. According to the National Association for the Education of Young Children, personalized learning tools that adapt to individual needs can significantly improve educational outcomes for students with disabilities.

3D printing technology enables schools, teachers, and even students themselves to design and create tools that meet specific learning requirements. This democratization of educational tool production has far-reaching implications:

  • Cost Reduction: Schools can produce tools at a fraction of commercial prices
  • Rapid Prototyping: Designs can be tested and refined quickly
  • Customization: Tools can be adapted for individual student needs
  • Accessibility: Specialized tools become available to underserved populations
  • Student Engagement: Students can participate in the design process

Filament Recommendations for 3D Printed Educational Tools

When creating 3D printed educational tools for visually impaired students, the choice of filament is critical. The material must be safe, durable, and provide appropriate tactile feedback. Based on the success of this project and general best practices in 3D printing for education, here are some recommended filament options:

  • PLA (Polylactic Acid): The most accessible and environmentally friendly option. PLA produces smooth finishes, comes in a wide variety of colors, and is biodegradable. It’s ideal for indoor classroom use and educational tools that won’t be subjected to high temperatures or extreme conditions.
  • PETG (Polyethylene Terephthalate Glycol): More durable than PLA with better impact resistance. PETG is food-safe and chemical-resistant, making it suitable for tools that might be frequently handled or cleaned. It requires slightly higher printing temperatures than PLA.
  • ABS (Acrylonitrile Butadiene Styrene): Highly durable and heat-resistant, making it suitable for tools that need to withstand frequent use or warmer environments. ABS produces slightly rougher surfaces than PLA but offers superior strength.
  • TPU (Thermoplastic Polyurethane): A flexible filament that can create rubber-like parts. TPU is useful for creating flexible connectors, bands, or other components that require elasticity.

Future Directions and Potential Applications

The success of 3D printed geoboards opens doors for similar innovations in other areas of mathematics and science education. Researchers and educators are exploring applications in:

  • Fraction Manipulatives: Tactile tools for understanding fractions and percentages
  • Molecular Models: 3D printed chemistry models for teaching chemical bonds
  • Graphing Calculators: Tactile representations of mathematical functions
  • Braille Learning Tools: Customized Braille practice devices
  • Physics Demonstrations: Tactile models for teaching force, motion, and energy

The National Council of Teachers of Mathematics emphasizes the importance of multiple representations in mathematics education. 3D printed tools like geoboards provide these multiple representations – visual, tactile, and kinesthetic – supporting diverse learning styles and needs.

FAQ: 3D Printed Geoboards for Visually Impaired Students

Frequently Asked Questions

1. What makes 3D printed geoboards better than traditional wooden ones?

3D printed geoboards offer several advantages: they’re significantly cheaper (5-15 dollars versus 50-150 dollars for traditional versions), much lighter (making them easier to transport and handle), and can be fully customized with Braille scales, color coding, and specific grid patterns. The ability to modify designs allows educators to create tools that precisely match their students’ needs.

2. See also: Creality Creality Ender 3 V3 Plus vs Creality Ende…. How much does it cost to 3D print a geoboard?

The material cost for a single 20 x 20 cm geoboard using PLA filament ranges from approximately 5 to 15 dollars, depending on the filament quality and specific design. This represents a 70-90% cost reduction compared to commercially available traditional geoboards. The printer itself is an upfront investment, but the per-unit cost remains very low, making it cost-effective for schools to produce multiple sets.

3. Can 3D printed geoboards be used for teaching advanced geometry concepts?

Absolutely. The inclusion of Z-axis pillars enables teaching three-dimensional geometry concepts including prisms, pyramids, volume calculation, and surface area. Students can construct and analyze complex 3D shapes by combining pillars of different heights, making these tools suitable for teaching geometry through high school level and even introductory college courses.

4. What type of 3D printer and filament is recommended for educational tools?

The study used a Flashforge Creator Pro with PLA filament, which proved effective. For schools, we recommend a mid-range FDM printer like the Creality Ender 3 V2 or Prusa i3 MK3S due to their reliability and community support. PLA is the best filament choice for educational tools – it’s safe, prints easily, produces smooth surfaces, and is environmentally friendly. PETG can be used for increased durability.

5. Do visually impaired students actually show better learning outcomes with 3D printed tools?

Yes. The controlled study showed that students using 3D printed geoboards achieved a 24% higher post-test score compared to students using traditional tools. Their learning gain was 120% greater, and both students and teachers reported significantly higher satisfaction (>4.8 out of 5.0) with the 3D printed tools. The tactile features, color coding, and integrated Braille scales all contributed to improved learning outcomes.

6. How long does it take to 3D print a geoboard?

According to the study, a single 20 x 20 cm geoboard takes approximately 18 hours to print. While this might seem long, it’s important to note that multiple boards can be printed simultaneously on larger printers, and the printing can be done overnight or over weekends. The actual labor time is minimal, making it a practical solution for schools with limited staffing resources.

7. Are the 3D printed geoboards durable enough for regular classroom use?

PLA geoboards are sufficiently durable for regular classroom use. While they’re not as indestructible as solid wood, they can withstand normal handling by students. For high-traffic environments or when maximum durability is required, PETG or ABS filament can provide increased impact resistance. The key design features – raised grid lines, Braille scales, and mounting points – all remain intact through regular classroom use.

Conclusion

3D printed geoboards represent a significant advancement in accessible education technology. By combining affordability, customizability, and thoughtful design features like Braille scales and color coding, these tools provide visually impaired students with effective, engaging ways to learn geometry. The research demonstrates clear educational benefits, with students showing significantly higher learning achievement and satisfaction compared to traditional teaching tools.

As 3D printing technology becomes more accessible to schools and educators, we can expect to see more innovative assistive technologies emerge. The ability to rapidly prototype and customize educational tools based on specific student needs represents a paradigm shift in inclusive education. Rather than forcing students to adapt to available tools, educators can now create tools that adapt to their students.

For visually impaired students, this means greater access to quality education and improved opportunities in STEM fields. For educators and schools, it means cost-effective solutions that can be continuously improved and customized. And for society, it means moving closer to true educational equity, where all students have access to the tools they need to succeed.

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