In this week’s lesson we explored geometric thinking and concepts.
Learning about familiarizing students with certain terms and concepts such as, “similar
versus congruent.” We began the class by being handed a shape, and students had
to form groups with members that all had similar shapes. Through use of
inquiry, students and teachers discussed why certain group members in the same
group had congruent shapes versus similar shapes. I found this activity as a
great way for students to get up and become active in the classroom, ask
questions and inquire about what makes their shapes similar and what makes
their shapes congruent. Students can retain concepts better when the learning
process is engaging, interactive and fun. I learned that in order to understand
geometric concepts, students must be able to touch, feel and move around objects
through use of manipulatives.
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| Exploring Simlar versus Congruent (Khalid, N © 2016) |
The van Hiele levels of geometric thought is a theory which depicts the
five-levels of processing that individuals use in making sense of geometric
concepts. These levels include visualization, making sense of what images look
like. Analysis is being able to identify the various classes of shapes through
their properties. Informal deduction is being able to understand relationships
between properties of geometric shapes. Deduction and rigour are level 3 and 4 geometric
thinking that extends from high school and beyond. Advancing through the
various stages requires students to gain enough geometric experience through various
forms of interactive and engaging lessons.
When we were working on activities using tangrams, it was very helpful
for me to have the tangram pieces in order to create the shapes and then answer
the question. Students that have a hard time visualizing geometric concepts mentally
can use manipulatives to ease their learning process. Using manipulatives in
this strand of math is imperative for students at all levels of learning. Since
this strand of math is highly focused on students being able to touch and feel
the shapes, the use of manipulatives is an asset to all learners. Also to
create a learning environment that is as physical as possible.
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| Using tangrams to answer question (Khalid, N © 2016) |
I was very excited to learn this week about all the ways there are to
teach this strand of math. One creative way is through the use of literature.
Student engagement is the key to their success, and I feel that students feel
captivated when stories are read to them, especially at the junior level. Knowing
that there are many pieces of literature that relate to various strands of
math, teachers can find comfort in knowing they can be creative in their teaching
methods. Books allow students to relate concepts they either learned or are
about to learn, making this form of learning easier to understand. Whereas direct
instruction causes some students that are unable to engage in the learning process
to tune-out. This week we read, “The Greedy Triangle,” through YouTube, which
is a great way of adding technology into the classroom.


Hey Nuha. I found this lesson particularly engaging myself, mostly because of the inclusion of the tangrams. Doing those really put my brain to work trying to find different ways to make the same shape using varying numbers of tiles. It was a really engaging challenge. I can particularly see how it would hook students with more of a competitive and challenge oriented mindset. In my own previous experience I remember making 3D geometric figures out of paper. I really think Lianne's activity had us build figures with jube jubes and tooth picks would be a hit with students. Another thing I think is interesting that you mentioned is familiarizing students with the correct terminology. Getting them used to triangular prisms in contrast to triangles can also reinforce understanding about the 3D nature of these geometric figures.
ReplyDeleteGreat Post Nuha!
ReplyDeleteI completely agree with your notion about how crucial it is for students to use manipulatives when being introduced to 2D and 3D shapes, them being able to touch and feel them. Because geometric thinking is so linked to students development of spatial skills, which is a very real-world skill, I think that incorporating real world topics and manipulatives during the geometric strand is crucial. In regards to the use of literature in math, I think it is great way to keep students engaged in a class where many students have inherent distaste towards the subject.