The pedagogy consists of the teaching strategies that are used to develop understanding of mathematical knowledge. It is important that the students think about the content and how they might be brought to think in a different way. Eric Wood (2003) suggested that pedagogical devices such as teaching vignettes and the development of good pedagogical cases with a mathematical basis can help teachers provide prospective teachers with a framework for discussion of both pedagogy and mathematics at the same time. This approach can allow for a conceptual change in both these mathematical understandings and students views about how mathematics can be taught. However, pedagogy also relate to classroom management.
And also this small scale research shows that incorporating Roberts Gagne’s instructional design model is an effective model to teach mathematics concepts though the model is very much focused on the objectives the learning process. And it also shows that students are well motivated to learn mathematics by using this model of teaching. Therefore this shows that the way of teaching effects the student’s curiosity to learn the subject matter and it is always important for the teachers to improve their pedagogical knowledge in teaching and learning process. Though the lesson taught in class 1 is well conducted, it is recommended to include more active strategies within the nine events of Gagne’s instructional design model. For class 2 it is recommended to used more activities which will gain the students motivation and to give individual help to the students to ensure the correct understanding of the concept for the students.
Curiosity is a vital component in children’s learning. It is when children are curious, they would start to “recreate or reinvent mathematics as they interact with concrete materials, math symbols, and story problems” (Sperry Smith, 2001, p. 16). To maintain the curiosity level in children, I would give them the autonomy in choosing what they would like to learn and tap on their interests accordingly. Lastly, provide children with a variety of concrete experiences for exploration and allow them to express their ideas in different mediums. The next acronym in my philosophy is ‘A’ and it stands for acknowledge.
1) Students participate more actively in lessons and express their ideas more frequently. The Open-Ended Problem Solving provides free, responsive, and supportive learning environment because there are many different correct solutions, so that each student has opportunities to get own unique answers. Therefore, students are curious about other solutions, and they can compare with and discuss about their solutions each other. As students are very active, it brings a lot of interesting conversation to the classroom. 2) Students have more opportunities to make comprehensive use of their mathematical knowledge and skills.
Part B Introduction The importance of Geometry Children need a wealth of practical and creative experiences in solving mathematical problems. Mathematics education is aimed at children being able to make connections between mathematics and daily activities; it is about acquiring basic skills, whilst forming an understanding of mathematical language and applying that language to practical situations. Mathematics also enables students to search for simple connections, patterns, structures and rules whilst describing and investigating strategies. Geometry is important as Booker, Bond, Sparrow and Swan (2010, p. 394) foresee as it allows children the prospect to engage in geometry through enquiring and investigation whilst enhancing mathematical thinking, this thinking encourages students to form connections with other key areas associated with mathematics and builds upon students abilities helping students reflect
These topics are only the beginning of students explorations when they use calculators to investigate mathematical ideas. The ongoing use of calculators will continue to enhance learning by presenting opportunities and possibilities for students. Shuard (1992) and Groves and Stacey (1998) documented how young students use of calculators led them to encounter and become interested in topics that were not traditionally part of their mathematics curricula, such as large numbers, negative numbers, decimals, and square roots. Using calculators for instruction with students of all ages enhances students' learning of mathematical concept and skills, problem solving, and attitudes (Hembree and Dessart
INTRODUCTION Math had been my interesting subject from my elementary class, but my main interest in Math Subjects beginning to grow from Grade 9. I was hugely inspired by the teaching methodology of my Math teacher who focuses mainly on a concept, not just way to solve the mathematical problem. I remember that I love to read the introductory pages of Trigonometry and brief proof about how various formulas in basic trigonometry are obtained. Even though I just need to remember the formulas in order to perform good in my exam, I was very keen to know how those formulas are derived. This process helps me to understand the abstract concepts of mathematics, like trigonometry.
The findings will be beneficial to the following people: Respondents. The respondents would benefit from this study because they may know their level of phobia in Mathematics and therefore, they would be encouraged to help themselves overcome their fears toward the subject thus, they would develop favorable perception and to perform better. Mathematics Teachers. The Mathematics Teachers would also benefit from the study in planning their specific programs and activities that could help their students develop positive attitudes towards mathematics. Parents.
I plan to be creative when it comes to math, and find ways where my students can construct their own learning and develop their own understanding behind the concepts of mathematics. I love the idea Tsuruda had of having students write reflections about their learning. I think this is a great way to gain insight on how his students learn, what they understand, and what they still need help on. I would like to use reflections in my math classroom one day because I believe it takes you into the student’s mind which will further help me as a teacher facilitate ways to build off the child’s knowledge in a way that is unique to their learning style. Overall, I believe constructivism is the best approach not only in math, but in every subject, because it focuses on the development of the whole child and creates life-long knowledge in an
A. THE IMPORTANT OF GAME IN TEFL Wright, Betteridge, and Buckby (2006, p. 1) define a game as an amusing and charming, often challenging activity and the learners play and interact with others. In doing the game, there would be four kinds of participants; class, individual, pair, and group work. The necessary thing to determine the participants is ensuring that each player has optimum occasion in practicing and using the target language, and probably may go beyond the class learning process as suggested by Wright et al. (2006).