How to look at Math Problems and Tech in the Class
Welcome back to my blog!
How to look at a math problem
This week, we covered intuition and thinking
like a mathematician. Math is so much more than plugging a number into a
formula. We need to understand math problems and be able to explain and justify
our thinking in words instead of a formula. What does that formula really tell
us? We need to know how to apply our mathematical thinking in other settings,
so a formula is not always going to help out especially when dealing with
something new or unknown.
Too often, we give up too soon. Even brilliant
people, such as Sebastian Thrun, an accomplished inventor and Google executive,
admitted to taking weeks to be develop an intuitive understanding of a math
concept. I also liked his comment about taking away the fear of math in our
students. The struggle and frustration experienced by students is actually an
excellent indicator of brain growth and learning.
Drawing in Math
In his blog, Ryan discussed the pencil as a powerful
manipulative – I couldn’t agree more! It’s a low-cost everyday item, therefore
easily accessible for everyone. In his TED talk, Tom Wujec explained that
illustrations let you break down a problem step by step and visualize scenarios
– this approach is used in the design process for new or improved products.
I really liked the 9-year old student’s visual representation
in one of our math mindset modules, in which the student drew 3 circles to
represent 1/3 of a pound of slices. From there, the student reasoned that 1 pound is
equal to 9 slices. If only ¼ of the slices was needed, dividing the grouping into
4 parts by drawing a horizontal and vertical line to determine that ¼ was only
needed gives us a clear idea as to how much was needed – just count the
contents of 1 quadrant!
It is commonly known that young children enjoy
drawing and are very creative – unfortunately, this creativity declines as
students get older. I will definitely encourage my students to use drawings to
help understand math problems!
Technology in the Math classroom
This week, we also looked at technology in the
math classroom. I think that technology is something that can greatly enhance
teaching in math and help our students to become 21st Century
learners. There is a wealth of wonderful resources but we have to make sure
that the resource is appropriate and not being overused. Is it relevant? Does
it assist in differentiation? Does it provide cross-curricular connections and
feedback to students?
In her MRP (Major Research Paper) Evaluating and Integrating Educational Technology in the Elementary
Mathematics Classroom, Rebecca Bunz has identified characteristics of effective
digital tools. (MRP is available at http://bit.ly/2EBaQKh)
“In terms of functionality, studies found a positive effect
on some aspect of student achievement or other factor of learning if the
digital tool
• was
adaptive,
•
allowed for collaboration,
•
allowed the use of an avatar,
• used
blogging tools,
•
provided the opportunity to draw, write, or highlight,
• used
a game-based environment,
• had
graphics and visuals,
•
provided hints or help,
•
provided instructions through a virtual guide,
• used
presentation software,
•
provided awards or incentives,
• used
robotics,
• used
spreadsheets,
•
allowed users to create content,
•
provided a teacher dashboard,
•
linked to curriculum standards,
•
provided tutorials on the concepts,
• was
user-friendly,
• used
a virtual world or classroom, or
• used
word processing software”
Some Popular Technology Solutions I’ve come
across
During my placement, Kahoots were used with great success!
Even the most reluctant and disengaged students enjoyed participating in
Kahoots with the rest of the class! Check this out to learn more about Kahoot: https://binged.it/2CVYAT1.
Class Dojo is another great tool that I saw being used for behaviour
management. Its points and reward system truly did motivate students to be on
task and complete their work. Watch this to learn about Class Dojo: https://binged.it/2EA2W43.
One
Tool I’d like to try out – Scratch
Students use Scratch to code their own animations,
projects, stories and games and share them with an online global community.
Check out this video!
Scratch Overview from ScratchEd on Vimeo.In the end, people are still the most important part of any classroom. Technology cannot replace a great teacher. Technology is a tool that enables teachers and students to create personalized, accessible, creative learning experiences. We just have to be careful to consider it as a means to this end, rather than an end unto itself.
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