ClementinaMathematician
Wednesday, April 2, 2025
Friday, March 7, 2025
Teachers!
gestures facilitate students! Learning: A lesson in symmetry
by
Laura Valenzano Martha W. Alibali, b, sand Roberta Klatzkya
Summary
The study puts forth the idea that factors influencing students' comprehension of spoken language also play a significant role in their understanding of the language employed in educational contexts. These factors encompass clarity of the message, the relevance of content, nonverbal cues, organization, engagement, pacing and repetition, tone and intonation, feedback, and integration. The primary aim of this research is to investigate the significance of gestures as a form of nonverbal communication in teaching and learning. It specifically highlights how gestures can provide substantial proof to enhance lesson content. For instance, using gestures to clarify concepts—like pointing to a shape to emphasize symmetry or tracing a line to illustrate an idea—demonstrates the educational value of gestures in making abstract notions more tangible and enriching the overall content of the lesson.
This research was conducted with 25 children, averaging 4 years and 6 months old, from two classrooms in a university laboratory preschool. The survey utilized a controlled environment featuring a table, two chairs, a small television VCR, and a video camera. This arrangement helped maintain consistency and reduce external distractions, allowing researchers to concentrate on the effects of gestures during the lessons.
The researchers systematically analyzed and categorized the
results from the experiments using coding. They focused on three main
categories: content, correctness, and presentation of gestures, which were
graded on a scale from 0 to 6. To enhance the analysis, the content was
examined through various lenses, including sides, mirrors, halves, irrelevant,
and don’t know explanations. Each explanation was also coded to indicate
whether gestures were used or not. Additionally, head turns were coded to
evaluate the students’ levels of focus.
From the analysis, the following findings emerged:
- Students exposed to the verbal-plus-gestures video condition provided more items than those in the video-only condition when both evaluative decisions and reasoning were considered.
- The verbal-plus-gestures video condition yielded a greater
number of judgments compared to the video-only condition.
- No significant difference was noted between the two
conditions overall.
- The verbal-plus-gestures condition offered more mirror
explanations, while the video-only condition included more irrelevant content.
- Judgments from both sides and mirror analysis indicated
that children in the verbal-plus-gestures condition provided more advanced
explanations.
- Students in the verbal-plus-gestures condition
demonstrated greater focus and answered more questions correctly regarding
symmetry.
In conclusion, despite some limitations of the study such as
the specific nature of the types of gestures used and the lack of realistic
instructional settings, the findings broaden our understanding of the
significant role that gestures play in influencing student comprehension. This,
in turn, extends to their overall learning of concepts. In conclusion, despite
some limitations of the study such as the specific nature of the types of
gestures used and the lack of realistic instructional settings, the findings
broaden our understanding of the significant role that gestures play in
influencing student comprehension. This, in turn, extends to their overall
learning of concepts.
“Students! comprehension may be challenged by instructional discourse that presents new concepts and uses unfamiliar terms”. Page 188
This quote speaks to me because it highlights the critical
role of preparing lesson notes or plans. By clearly outlining our teaching
steps, we can better connect what students already know to new concepts. A
well-prepared lesson is essential for tackling the difficulties that come with
presenting unfamiliar ideas and vocabulary. Without this preparation, we risk
creating misunderstandings that can impede students' overall understanding of
the material.
Additionally, gestures can play a powerful role in helping
overcome these challenges. They serve as visual or physical representations of
abstract concepts or complex terms, which can be incredibly useful when we’re
crafting our lessons. For instance, as mentioned in the article, the teacher
introduced new vocabulary by tracing shapes or pointing to relevant examples,
which helped students relate the unknown to their existing knowledge. Careful
planning allows educators to effectively incorporate gestures into their
teaching strategies, enhancing the learning experience. How can I prepare my
lesson to ensure that the gesture used in the class is beneficial to students
of all learning styles?
” Gestures may serve to capture students! attention precisely
because they link speech to the physical environment”. Page 201
This resonates with me because the significance of gestures
in classroom teaching and learning is crucial. It's vital to make mathematics
more relatable to students. I believe that when a teacher delivers lessons with
passion and utilizes body language to demonstrate concepts, it truly engages
students and ignites their curiosity about the subject. I recall a time when I
was teaching my students about the parts of a circle. I used my hand to
illustrate each element, tracing and pointing out features like the circumference,
radius, arc, diameter, and chord. It made the lesson more interactive and
memorable for them.
Sunday, March 2, 2025
“I added the numbers, it’s math!”: how sense-making in “Age
of the Captain “problems differs between a mathematics classroom and a language
classroom
By
Molina, Natalia; Strohmaier, Anselm R; Reiss, Kristina M
SUMMARY
The article explores the use of
nonsensical problems in solving word problems to get the step-by-step approaches
and influencers of making sense when solving word problems. The focus was on using ACP (Ages of the
Caption Problems) about classroom context. This idea was introduced by the
Mathematical Research Institute of Grenoble in 1980.
The researchers used a sample size
of 48 primary school students. The instrument used was a language-based test administered
to each student followed by a group interview. In both scenarios, the students
experienced confusion because the questions were nonsensical. This is because the
mathematics class attempted to solve the problem numerically while the language
class were more comfortable questioning the logic behind the question.
The researchers raise four hypotheses
in an attempt to determine how students make sense of nonsensical problems differently
in the classroom context;
*Hypothesis 1: students will solve
nonsensical problems by using arithmetic calculators
*Hypothesis 2: Students will make less
use of arithmetic calculations during language class
*Hypothesis 3: students in the mathematics class tend to use
more of a paradigmatic approach
*Hypothesis 4: students in the
language class use a narrative approach.
The T-test was used to analyze the
hypothesis, and it was concluded that students in mathematics classes were more
likely to provide arithmetic responses to ACPs as they were influenced by classroom
context.
Stop1
” Mathematical
word problems are documented to exist in the mathematics curriculum for
centuries and still play an important role in education nowadays, aiming to
bridge mathematics to everyday life (Dewolf et al.,2011)”. Page 1
This quote resonates with the
importance of word problems in the mathematics curriculum. Word problems are
powerful tools necessary for teaching mathematics concepts to students as they give
room for a practical approach to problem-solving skills. They help students see
the importance of mathematics in real-life situations. I can say word problems
are avenues for bringing mathematics close to our students because it is
essential in strengthening critical thinking analysis ability while encouraging
creative thinking. It helps us identify and exploit opportunities in the environment.
Stop 2
“However, when studying how pupils
relate word problems to real life experiences, research has shown that the
attempt of this connection often fails when students are confronted with word
problems in the classroom (Verschaffel, et al.,2000, & Dewolf, et al.,2011)”.
Page 1
As discussed in Stop 1 above, Mathematical
word problems are important because they allow students to apply
mathematical concepts to real-world situations while developing critical
thinking skills and aid in practicing translating language into mathematical
equations. Students must first and foremost understand the idea or concepts behind
the mathematical problem before solving it. This calls for concern as a lot of students
cannot interpret these questions. When students struggle to comprehend mathematical
word problems, it can lead to several disadvantages, like conceptual understanding
of math, difficulty applying math skills to real-world situations, and
potential struggles in higher-level math courses where word problems are often
prevalent. One of the major causes is the underlying issues with reading
comprehension or language processing that may need further assistance.
“A WAEC math word problem example
could be: "A rectangular garden has a length of (x + 3) meters and a width
of (x - 2) meters. If the perimeter of the garden is 20 meters, find the value
of x and the dimensions of the garden.”.?
Imagine giving a student the
question above in a standardized test, the students must first understand words
or concepts like “rectangular, perimeter, length, width garden, meters, value and
dimensions” before making sense of the question.
How do students perform in word
problem analysis when teaching and learning activities are going on in your
classroom? What strategies do you use as a teacher to address this deficiency?
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