Active Learning At The Heart Of Mathematics

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

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,

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,

There are different national frameworks and policies that are used for the development of mathematical learning from 3 to 8 years old.

Multiplicative thinking is imperative to a child’s understanding of important mathematical concepts and is seen as the ‘big idea’ in number that links multiple key ideas and strategies (Vergnaud, as cited in Siemon, 2011). Commonly, children have a procedural based view of multiplicative thinking which can hinder progress, as opposed to a more conceptual view which is a far better learning framework (Hurst & Hurrell, 2016). If teachers are to maximise a child’s learning, they must acknowledge this and help children maintain a conceptual understanding of multiplicative thinking and emphasise this much more so than procedural rules. Several key ideas and strategies underpin the success of multiplicative thinking and a greater conceptual understanding.

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.

Standards for Mathematical Practice Kindergarten- Grade 12; Measurement and Data: Work with time and money.

During the Foundation Phase, children develop their skills, knowledge and understanding of mathematics through oral, practical and play activities. In our setting children`s mathematical development is supported by different activities. Children are encouraged to develop their understanding of measurement units, investigate the properties of shapes and develop early ideas of reasoning and basic mathematical procedures through practical opportunities. These opportunities include cooking, exploring and counting activities.

The following child study is divided into two components discussing aspects of place value as a concept taught in mathematics education. Component A introduces the topic by discussing the significance of interview style assessment, followed by discussion on the importance and teaching of place value. Misconceptions and difficulties surrounding place value learning are also described. Component B focuses on an individuals understanding of place value through the use of an interview and tutoring sessions.

This assignment will discuss the challenges and benefits for pupil’s learning when Mathematics is connected to Science. This cross-curricular link has been chosen as I wish to further deepen my understanding of Science and its cross-curricular links to Mathematics. The essay will explain what role Mathematics and Science play within the National curriculum, what cross-curricularity means followed by the discussion of the challenges and benefits including examples of how these are applied in work-based practice at primary school within upper key stage 2.

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.

Problem Solving, Numeracy and Reasoning: Helping to expand their knowledge of problem solving using stories, games, role play, singing and games. Making the child feel easy talking about and understanding the language of reasoning and problem solving.

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).

Algebra is a major mathematical strand that has been incorporated across all year levels within the Victorian Curriculum. The many components within and interrelated with algebra and algebraic thinking sets children up, not only for formal algebra in high school, but for life (Reys, et al., 2012). This paper will be addressing some of the main ideas and understandings associated with Algebra. Key skills, strategies and ways of thinking will also be explored along with strategies for teaching the content effectively.

It is important to teach or at least try to teach students problem solving related to math. Problem solving plays a big part in the math process. Teaching problem solving is beneficial to students because helps the students find solutions when struggling. It helps math to be more interesting and less stressful. Students see math with less negative reaction and more hope. Problem solving helps and improves student’s ability to think, solve, and find solutions. It is important for students to have the ability to have problem solving skills and this is what it teaches the students. Ultimately, problem solving helps students focus increase and learn what works best for them.