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Insights/reflection about learner centered learning
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1. Introduction
South Africa is country with eleven official languages. The majority of learners will have their primary through tertiary schooling in an English of Afrikaans medium institution. Most of these learners are not English mother tongue speakers and this can be a huge barrier for effective teaching to take place. Walton (2013: 131) states that different learners will require different scaffolding, depending on their current readiness to learn and all learners do need scaffolding to support them in moving from their current skill to a more difficult level. In this paper I will discuss how scaffolding can be used to help the teacher approach this problem and different strategies a mathematics teacher can use.
2. Context
According
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Used at the end of a topic, it allows them to express the mathematical language and explain the math concepts that they have been learning.
Create a grid with up to nine boxes. In each box, write a simple math problem that is based on the mathematical topic the group is studying. Allocate the first student a cell reference (for example, A2). The student works out the answer and then chooses someone from the group to go next, allocating a new cell reference to that student.
This strategy gives students opportunities to use mathematical language in a supported and scaffolded way to describe their reasoning.
• Clines: Clines are gradients used for teaching gradations of meaning. Words are spaced along the gradient, for example, words to describe temperature, such as tepid, hot, boiling, cool, cold, warm, chilly, and freezing. After modelling the task, give these words to groups of students to place on the cline. The discussion that comes with this task is as important as the task
5. Gibbons, Pauline. Scaffolding language, scaffolding learning: teaching second language learners in the mainstream classroom. Portsmouth, NH: Heinemann, 2002. Print.
All children learn differently and teachers, especially those who teach mathematics, have to accommodate for all children’s different capacities for learning information. When teaching mathematics, a teacher has to be able to use various methods of presenting the information in order to help the students understand the concepts they are being taught.
Van Der Stuyf. R.R. (2010). Scaffolding as a Teaching Strategy. Adolescent Learning and Development. Section 0500A, November, 2010. Retrieved from http://www.sandi.net/20451072011455933/lib/20451072011455933/RTI/Scaffolding%20as%20a%20Teaching%20Strategy.pdf
Mathematical dialogue within the classroom has been argued to be effective and a ‘necessary’ tool for children’s development in terms of errors and misconceptions. It has been mentioned how dialogue can broaden the children’s perception of the topic, provides useful opportunities to develop meaningful understandings and proves a good assessment tool. The NNS (1999) states that better numeracy standards occur when children are expected to use correct mathematical vocabulary and explain mathematical ideas. In addition to this, teachers are expected
Scaffolding is metaphorical term which refers to the process through which teachers facilitate children’s learning by enabling them achieve a level of ability beyond the child’s current capacity. Through scaffolding, teachers play an active role by interacting with children to support their development by providing structures that support them to stretch their understanding or me...
Using literacy strategies in the mathematics classroom leads to successful students. “The National Council of Teachers of Mathematics (NCTM, 1989) define mathematical literacy as an “individual's ability to explore, to conjecture, and to reason logically, as well as to use a variety of mathematical methods effectively to solve problems." Exploring, making conjectures, and being able to reason logically, all stem from the early roots of literacy. Authors Matthews and Rainer (2001) discusses how teachers have questioned the system of incorporating literacy with mathematics in the last couple of years. It started from the need to develop a specific framework, which combines both literacy and mathematics together. Research was conducted through
Sherley, B., Clark, M. & Higgins, J. (2008) School readiness: what do teachers expect of children in mathematics on school entry?, in Goos, M., Brown, R. & Makar, K. (eds.) Mathematics education research: navigating: proceedings of the 31st annual conference of the Mathematics Education Research Group of Australia, Brisbane, Qld: MERGA INC., pp.461-465.
Scaffolding is the process of support given to students during their learning process to help them achieve their goals. Using
As a secondary subject, society often views mathematics a critical subject for students to learn in order to be successful. Often times, mathematics serves as a gatekeeper for higher learning and certain specific careers. Since the times of Plato, “mathematics was virtually the first thing everyone has to learn…common to all arts, science, and forms of thought” (Stinson, 2004). Plato argued that all students should learn arithmetic; the advanced mathematics was reserved for those that would serve as the “philosopher guardians” of the city (Stinson, 2004). By the 1900s in the United States, mathematics found itself as a cornerstone of curriculum for students. National reports throughout the 20th Century solidified the importance of mathematics in the success of our nation and its students (Stinson, 2004). As a mathematics teacher, my role to educate all students in mathematics is an important one. My personal philosophy of mathematics education – including the optimal learning environment and best practices teaching strategies – motivates my teaching strategies in my personal classroom.
As with every academic subject, there are a variety of strategies for teaching mathematics to school-aged students. Some strategies seem to be better than others, especially when tackling certain topics. There is the direct instruction approach where students are given the exact tools and formulas they need to solve a problem, sometimes without a clear explanation as to why. The student is told to do certain steps in a certain order and in turn expects to do them as such at all times. This leaves little room for solving varying types of problems. It can also lead to misconceptions and students may not gain the full understanding that their teachers want them to have. So how can mathematics teachers get their students to better understand the concepts that are being taught?
Van Der Stuyf, R. R. (2002). Scaffolding as a Teaching Strategy. Adolescent Learning and Development, Retrieved from: http://www.sandi.net/20451072011455933/lib/20451072011455933/RTI/Scaffolding%20as%20a%20Teaching%20Strategy.pdf.
Allowing children to learn mathematics through all facets of development – physical, intellectual, emotional and social - will maximize their exposure to mathematical concepts and problem solving. Additionally, mathematics needs to be integrated into the entire curriculum in a coherent manner that takes into account the relationships and sequences of major mathematical ideas. The curriculum should be developmentally appropriate to the
...before she introduced the new terms and vocabulary. Finally, Bruner investigated how adults use language to mediate the world for children and help them solve problems. Children learn effectively through scaffolding by adults. This technique is based on taking step by step for building knowledge. It suggests that a teacher can scaffold children learning in different ways. For example, students face difficulties in reading lessons in the first stages; therefore, the teacher has to use visual and auditory materials before she enrolls in the lesson, such as realia, pictures, and videos. This will helps the child to predict what the story is about. In addition, she has to introduce the new terms which are difficult for a child to pronounce it. These techniques and instructional strategies are most effective for teaching English as a foreign language for young learners.
Lesson plans for these students should include charts, diagrams, and tables when possible since this type of student learns best through categorizing, classifying, and working with abstract patterns or relationships. Let them do experiments and show them how to use a calculator. Some games these learners might like to play include Uno, checkers, and chess.
Puntambekar, S. & Hubscher. R. (2005). Tools for scaffolding students in a complex learning environment: What have we gained and what have we missed? Educational Psychologist, 40, 1-12.