Reflection On Extreme Mathematics

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

It is crucial to develop in children the ability to tackle problems with initiative and confidence…mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri, 2006, p.2).

My passion for mathematics was fixed at the age of ten, on the morning that my mathematics teacher told I would be sitting the Junior Maths Challenge, 'as practice for when you are older'. As I nervously started to answer the questions, a whole world began to open before me. I revelled in the problem solving, answering questions of a nature I had not seen before. My teachers were delighted when I emerged from the exam hungry for more. Since then I have consistently demonstrated my aptitude, achieving gold awards through to senior level, and scoring highly in the European Kangaroo.

Mathematics is not for one type of person: not only for the nerdy and weird outcasts, not only for the white male, not only for those who are not targeted by the stereotypes prevalent in the field. Mathematics is not dry, nor boring, nor focused on inane solutions never to be used after the discovery. Mathematics is not what people think it is; it is not one field, one theme, one subject. Mathematics is everything. Look around, with clear eyes, and you will see the art of mathematics everywhere. Dr. Diana Gu, the founder of MTY Academy, an extremely successful institute in the Austin community, and long-time, inspirational professor at the Texas State University, looks at the world and sees numbers. She sees passion and dedication and motivation. She sees intensity and zeal and excitement. Explaining that mathematics is essential for everyone, she emphasizes an idea: innate skill matters little, while practice is what defines you.

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.

Part B. Describe two mathematical strengths for each student whose response indicates the need to reteach the math content.

Every day, mathematics is used in our lives. From playing sports or games to cooking, these activities require the use of mathematical concepts. For young children, mathematical learning opportunities are all around them. Knaus (2013) states that ‘Young children are naturally curious and eager to learn about their surroundings and the world they live in’ (pg.1). Children, young and old, and even adults, learn when they explore, play and investigate. By being actively involved, engaging in activities that are rich, meaningful, self-directed and offer problem solving opportunities, children given the chance to make connections with their world experiences (Yelland, Butler & Diezmann, 1999). As an educator of young children,

The article, “Punch Up Algebra with POWs,” by Mark Pinkerton and Kathryn Shafer begins by stressing the importance of problem solving abilities since it leads to understanding mathematical concepts. The authors stress that students need to be given the opportunity to “reason and make sense of mathematics.” The article examines co-author, Mark Pinkerton’s, yearlong experience that was designed to provide constant problem solving opportunities for his students. (Pinkerton & Shafer, 2013).

A classroom with a critical and creative thinking environment provides opportunities for higher-level thinking within authentic and meaningful contexts, complex problem solving, open-ended responses, and cooperation and interaction. Many students see math as right or wrong and they don’t question or explore more. As a future math teacher, I want students to learn to question, be critical, and be creative. I want my future students to feel engage in exploration and investigation. I want to equip my students with higher levels of thinking and engagement and make mathematics more relevant and meaningful.

After receiving an invitation from Megan Smith in April 2016 to come to DC for the summer to upgrade math learning for the country, I’ve been thinking about and brainstorming ideas with about a dozen math enthusiasts for how to get kids intrigued, engaged, and challenged by mathematics.

must use these items and time as a light-bulb moment. Outdoor learning is a crucial mathematical and science foundation for young minds to

students eyes to a world of mathematics that they never before could have even began to

In today’s society mathematics is a vital part of day-to-day life. No matter what a person is doing at home or at the workplace, he/she is constantly using different mathematics skills to simply function. Then what does this mean for mathematics education? When someone needs to utilize a skill every day then he/she needs a strong background in the skill. Therefore, today’s students need more than a just a working knowledge of mathematics or enough knowledge to pass a test. Today’s students need to understand how mathematics works and how to utilize mathematics skills in the best way possible.

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.

Mathematics is a type of reasoning. Thinking mathematically includes thinking in a rational way, developing and checking conjectures, understanding things, and forming and validating judgments, reasoning, and conclusions. We show mathematical habits when we acknowledge and explain patterns, build physical and theoretical models of sensations, develop sign systems to assist us stand for, control, and review concepts, and create treatments to address issues (Battista, 1999).