Questions On Teaching And Learning

From birth, it is important for practitioners to support the early years’ mathematical development. Children learn emergent maths which is a “term used to describe children construct mathematics from birth” (Geist, 2010). The Early Years Statuary Frameworks (EYFS) (Department of Education) states that maths is one of the specific areas.

Mathematical understanding influences all areas of life from social to private and civil. Therefore maths education is widely believed to be the single most important aspect to establishing opportunities for young people; unfortunately, many struggle with mathematics and become indifferent as they continue to encounter obstacles with regard to engagement (Anthony & Walshaw, 2009). Knowing a

Numeracy development is important for all children as maths is an important part of everyday life. The way in which maths is taught has changed greatly over the years. When I was at school we were taught one method to reach one answer. Now, particularly in early primary phase, children are taught different methods to reach an answer, which includes different methods of working out and which also develops their investigation skills. For example, by the time children reach year six, the different methods they would have been taught for addition would be number lines,

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.

Mathematical activities at Ysgol Dolafon are delivered in accordance with pupil’s individual needs and great deal of emphasis is given to continuity of learning. Ample opportunity is provided for pupils to discuss their understanding of concepts as they progress and teachers are aware of the importance of eliminating any gaps in the children’s mathematical knowledge. The Welsh Assembly Government guideline for Mathematical Development maintains that: ‘It is crucial that gaps in children’s mathematical learning are avoided, so that children do not miss out on essential elements in their understanding of mathematical concepts’ (WAG 2008) and Ysgol Dolafon fully agrees with that statement.

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,

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

In order to alleviate the procedural method of teaching statistics and probability, Common Core Mathematical Practice Standards encourages the use of authentic tasks that are grade level appropriate and culturally meaningful to students. Students should be part of the whole process, from defining questions to interpreting results or making predictions. It is only by being involved in the whole process that they develop conceptual understanding (Van De Walle,

The National curriculum states that in Mathematics teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is

Children at this age also have different skills related to numeracy. Fostering numeracy skills in early childhood education not only predicts for later Math achievement but also for greater literacy skills (NAEYC, 2009). Since mathematical concepts are often intertwined with so many areas such as science, literacy, dramatic play, block building, and more, math learning centers offering interdisciplinary materials and activities ensure that young children grow to understand and appreciate the real life applications of mathematical concepts (Fu, 2010).

     For this particular study, a survey including 39 closed questions (developed by Alan Schoenfeld in 1989) was used. All items on the survey were in the form of a seven point rating scale, with 1 being “strongly agree” and 7 being “strongly disagree”. The questionnaire was determined to be extremely consistent with an alpha of 0.8468. The survey contained questions associated to student’s perception of what mathematics is and how to do well in it, what mathematics solutions should be, how math problems can be solved, how mathematics is learned, and student motivation. For the first 33 questions, the students were asked to rate them on the seven point scale described above. The last six questions on the survey dealt with grades, gender, and perception of the children’s parent’s attitudes towards mathematics. The researcher also used a two-tail t-test to compare the mathematical perceptions of Chinese and American students. The average of each cateogry in the survey was also compared. As stated above, there were six main categories being compared: what

Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why 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).

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.

When planning unit outcomes, the Australian Curriculum, local context and needs of individual students are considered. This ensures relevant stakeholder interests are balanced and meaningful outcomes developed (Dowden, 2013). The Australian Curriculum, guided by the Melbourne Declaration on Educational Goals for Young Australians, outlines the official mathematics curricula to ensure students are taught the required knowledge and skills needed is consulted initially (Dowden, 2013). This is important as the Australian Curriculum has been planned with future educational and employment goals

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).