Essay on Teaching Mathematics through Guided Discovery

Use an anticipation-reaction guide to help students link new and prior knowledge and activate students’ interest and curiosity for the topic, promoting motivation and

Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all

First knowing the subject, then deciding the length of the lesson and which key stage is it aimed for.

Van de Walle, J, Karp, K. S. & Bay-Williams, J. M. (2015). Elementary and Middle School Mathematics Teaching Developmentally. (9th ed.). England: Pearson Education Limited.

It is extremely important that the Learner / group clearly articulate what the problem / situation is to the class. It is essential that the

I elicited and built upon student’s response to promote thinking and develop understanding of science concepts through questioning to get student think critically about what they did at each station and how it fit together what we see happen outside the classroom. it can be seen in the video clip 2 lesson 4 minute , it can been seen in the video that students are actively engaged in answering questions and are willing to give their insight into situation. In video clip 1 The students watch a video about the chemistry of carbon. and while the students watched the video there were a list of the question that each students need to answer it, and one of these questions was asking about “what the protein are made off “This provided students

Sarama, J., & Clements, D. H. (2006). Mathematics in kindergarten. (61 ed., Vol. 5, p. 38). YC Young Children. Retrieved from http://media.proquest.com.ezproxy.apollolibrary.com/media/pq/classic/doc/1129349361/fmt/pi/rep/NONE?hl=&cit:auth=Sarama, Julie;Clements, Douglas

The lesson should first be introduced to the class through the vocabulary. This gives the students the back ground on the words used to describe what the lesson is about, and allows them to use the words in context with what they are doing.

How are your lessons designed for student learning of mathematical concepts, procedures/algorithms, and mental math strategies through problem solving?

Without direct instruction, students cannot learn on their own. They need to be taught how to do certain things to be able to be productive in life. They need to learn how to follow direction to be able to get to the correct answer with understanding.

Many students at the elementary level perform poorly in mathematics because when they complete kindergarten; they acquire inadequate knowledge of basic mathematics. Due to lack of enough skills and concepts, these students continue to experience this problem even in upper elementary school (Duncan et al, 2007).By the fourth grade, these students performance becomes very poor such that they are not expected to improve when they get to the next grade. The major program to improve student’s achievement in mathematics is the introduction of more intense professional development in teacher-led instruction, providing examples, and teaching problem-solving strategies for all

Ceri Dean discusses many structures tasks in chapter 9 that can be applied to the classroom. In science, we use several of these throughout the school year. These structured task include problem solving and experimental investigation. The deduction method is typically used and explained as the scientific method. According to Dean deduction method gets better results than the induction method (Dean,2012, p.137). The scientific method in my class is dissected into parts and taught by example and practice. I want my students to be able to take any experimental investigation and identify the parts of the scientific method. By the time students get to 11th and 12th grade they should be able to identify and apply the parts of the scientific

What is the most effective way to teach? Can students really learn and fully understand the material teachers convey to them on a day to day basis? According to a middle school mathematics teacher, his methods of teaching the traditional way was not as effective and producing a long-term impact as he would have liked. The article "Never Say Anything a Kid Can Say!" enriches us to the possibility of applying slight gradual modifications to our teaching methods and how we could find ways to utilize that information in the search for more effective teaching methods to encourage students to explain their thinking and become more deeply involved in the classroom discussions, thus developing their questioning skills (Reinhart, 2000). After

Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.

The first approach of student-centered learning that will be discussed is a teaching method called the Learning Cycle. A study was done with fifth grade students learning about sound. There were some students who were taught using the Learning Cycle, and some students were taught using the textbook approach. To see which method produced a greater understanding of sound the students were randomly selected, and an interview method was used in both groups to see what the students previously knew about sound. Then, in the instruction part of the procedure an instructor was used in both methods. In the Learning Cycle approach there were three phases: "exploration, concept introduction and concept application". During these three phases the students worked together in-groups while discussing their ideas and using manipulatives to act out the concepts. Also, the teacher would act as a facilitator, while the students discussed their ideas, and created more ideas and situations to figure out. During the lessons, the students were in active control and they could lead the lesson with their ideas and conclusions. The students were very excited to work together and the groups encouraged some of the students to share their ideas more willingly (Barman, & Barman 1996). Dinan