Design A Year 1 Mathematics Learning Experience

This paper will demonstrate the pre-service teachers’ understanding of mathematical practices as part of the Common Core State Standards in Mathematics. It will address two specific standards for Mathematical Practices, describing the essence of both and providing a description of how teachers facilitate these practices and how students are engaged in the practices.

When the practitioners are planning, they can also ensure that they involve all children no matter what the mathematical ability to allow group learning and supporting one another which Vygotsky (Richard Culatta, 2015) says is how children learn best. Practitioners should plan for an enabling environment that promotes maths by surrounding the children in mathematical concepts and language, to support emergent maths. Practitioners should praise children. Practitioners should support all children’s development to ensure children and school ready and they are developing their emergent

The stage 4 mathematics Unit of Work (UoW) “Unit 10 Measurement, Length, Perimeter and Area” implements an array of concepts to aid the students to learn multidimensional mathematics through applying an Aboriginal perspective. These concepts that are outlined are the choice of and conversion between metric units, establishing and using formulae to solve perimeter and areas of squares, rectangles and triangles, utilising pi and solving perimeters of circles and solving problems using perimeter, area and circumference. Although the unit mentions the importance of the use the Mathematics problem solving there is a majority of content that is missing on the cultural aspect of mathematics as it highlights the prominent use of one-dimensional Mathematics.

The aims and importance of learning provision for numeracy development are to ensure all students understand that maths is a vital part of everyday life and will continue to be used throughout their life. Primary schools will teach students to learn various methods and techniques to be able to reach the correct answer. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them. They can then develop their learning to improve their knowledge and apply it to real life situations; such as counting in groups of numbers such as 5’s or 10’s, which in turn can be applied when paying 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.

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.

Following the year 9 Australian Curriculum ACMMG221 in geometric reasoning to solve problems using ratio and scale factors in similar figures (Australian Curriculum, Assessment and Reporting

Even thou, geometry involve shapes, nature, conjectures, proofs, angles, formulas and patty paper, one needs the common language to express attributes. She was able to tell the number of sides a triangle, pentagon, and rectangles. She could not complete parallel line task because she did not know what parallel meant, which affected the parallelogram activity. I know that we were not supposed to give instruction, but what a great learning moment we shared. We found lines and shapes in the classroom environment and talk about where the lines started and ended. We addressed corners and where two lines met. We traced tile lines on the floor. She came to the conclusions that “top and bottom don’t touch.” We marked parallel lines and talked about what parallel meant. She remembered parallel the next day so it did make sense in her mind. In fact, she remembered the words from the warm-up. Many activities had a rubric that made it clear on how to analysis the

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.

I found most of the questions related to one or more of Bishop’s “universal” activities (Bishop, 1988. P.100), they were connected to at least 2 or 3 areas. Further analysis of these 15 questions allowed me to identify the category of explaining was in almost all the questions. In some form or another I was able to identify similarities, classifications, story explanations, logical connectives and arguments, symbolic explanations, graphs, mathematical modelling and general ideas, questions and experiences. I identified the other categories in the questions more than once, all except locating, the only question I found this was in question 14. The question referred to directions and routes, a journey taken to lead somewhere. The main concept was to identify what happened while following the directions. This question linked to explaining when communicating experiences and playing when using hypothetical reasoning. I have identified that I will need to work on my understanding of the mathematical concept locating. My sense of direction, locations and mapping skills need some improvement and for me to be confident as an educator teaching this mathematical concept will take practice and development of my knowledge. AAMT (2006) standard 1.2 refers to how excellent teachers of mathematics have a sound, coherent, knowledge of the mathematics

Geometry and Algebra are so crucial to the development of the world it is taught to every public high school in the United States, around 14.8 million teenagers each year (National Center for Education Statistics). Mathematics is the engine powering our world; our stocks, economy, technology, and science are all based off from math. Math is our universal and definite language “I was especially delighted with the mathematics, on account of the certitude and evidence of their reasonings.” (Rene Descartes, 1637).

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

This essay will provide details about how the lesson plan and sequence of lessons for the mathematics unit of symmetry caters for individual students’ needs in regards to active engagement in learning activities and what differentiation measures are put into place for students with varying levels of ability.

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