Probability: Australian Curriculum Relating To Mathematics

Probability: The likelihood that a threat will exploit a vulnerability. Probability can use a scale of low, medium, and high, assigning percentage values to each.

It is difficult to believe that this is already week three of this course, maybe the saying of how quick time can fly by when it is doing something fun is slightly true. In all actuality one has never really thought of math as fun, however, when the so-called light bulb goes from being dim to slightly a bit brighter it does provide a sense of gratification that just possibly one is, getting it or in the very least some of it. This week’s topics that covered discrete and continuous variables along with the various probability distributions was to say the least interesting and somewhat of a challenge. Yet, the more I read peers responses to the discussion questions and additional reading it was a bit clearer although, it is of the belief that one is not one hundred percent on some of it. With that being said, there was as mentioned moments which the light bulb became a bit brighter; when one could relate to the bell shape curve concept and the new concept of Altman’s z-score formula.

A listing of all possible outcomes of an experiment and the corresponding probability is called:

Educators are required to interpret students’ responses to mathematical questions. The purpose of this report was to provide an opportunity to examine the step by step approach to answering problems, interrogate the results and recognise mathematical concepts. There are six questions in total from the Australian Curriculum Assessment Reporting Authority [ACARA], (2012) NAPLAN year nine numeracy non-calculator test. The six questions mentioned in the report are question 12, 14, 16, 18, 22 and 23. Each issue is set out in the report in numerical order with a screen shot of the methods used to solve the question followed by a reflection. The reflection describes my feelings, confidence and approach towards each question along with the type of mathematics used, the year level suitable for each question according to the ACARA (2015) and alternative ideas for solving the six questions.

According to NCTM: In grades 3–5, students should understand and apply basic concepts of probability and be able to…

From the time we are born, ‘traditional’ gender stereotypes are inflicted on us, telling us what society deems normal or expected based on our gender. For children these impact on the toys children choose to play with or how they feel about themselves (National Unions of Teachers, 2013, p. 3). This guide addresses the sociocultural issues facing early childhood education such as gender equality, sexuality and diversity by removing stereotypes from early childhood education and developing a new generation of critical learners. The Australian Curriculum combined with the Early Years Learning framework can perpetuate these inequalities creating negative impacts on children’s self-esteem, relationships and the opportunities they receive. Teachers

All students in education come from different backgrounds. Australia is a diverse, multicultural country with 44% of Australians born overseas or have one parent born overseas, Lawrence, Brooker, & Goodnow, (2012, p. 75). Its diverse population is manifested in students who bring to class their ‘virtual bags,’ (Thomson, 2002), full of different cultures, languages, religious practices, value systems and customs which may alienate them from the dominant culture. Educators must create educational environments, which cater for all microcultural groups to experience educational equality, (Banks, 2006, p. 78); otherwise the learning spaces will become hotspots for issues of diversity and difference. The Australian Curriculum recognises that all students are entitled to high quality education and acknowledges that students’ needs and interests vary, and that schools and teachers will plan from the curriculum in ways that respond to those needs and interests, Australian Curriculum and Assessment Authority (ACARA, 2013). Therefore, educators have a greater responsibility to appreciate diversity and difference by examining their attitudes and beliefs and confront the biases, which influenced their value systems as it helps them to appreciate children’s perspectives that are different from their own. This will increase students’ success as educators apply strategies and pedagogy that welcomes and supports all students irrespective of their culture, ethnicity or race, gender, ability

Unknowingly, mathematics are being taught since early childhood. Effective early childhood mathematics teaching is much more challenging. This is because mathematics is fundamental where many people assume it takes little understanding to teach it. Children are perfectly capable of coping with these ideas. Additional, they need to do so to develop the kind of vigorous understanding that will not decay under the necessary memorization of number, words and symbols that is to come in kindergarten. In preschool, before there is really any opportunity for “procedural” mathematics, it is important for the children to have ample opportunity to think about mathematics conceptually.

It was Monday, and Gwen flipped open her laptop in Probability and Statistics. The course took place in a large classroom, not a lecture hall, since there were only thirty people enrolled in this section.

In Elementary school, students are unaware of the predictions and probabilities they make on a daily basis. However, when teachers explain predictions and probability in mathematics classes, most students leave their reasoning behind in hopes of finding the correct and exact answer to questions. In the article, “Predictions and Probability” author Sue McMillen provides readers with open-ended investigations to help teachers with their mathematics lesson plans dealing with probability and predictions.

Experimental Evaluation of the Effects of a Research –based Preschool Mathematics Curriculum (2005) is a research article written by two Distinguished SUNY researchers. Dr. Douglas Clements and Dr. Julie Sarama focused their study on measuring the effectiveness of a preschool mathematics programs based on a comprehensive model of developing research –based curriculum in larger context with teachers and students of diverse background. In this study, teachers implemented intervention curricula, Building Blocks, and the comparison mathematic curriculum in preschools in New York State as experimental treatment and its effect on classrooms’ mathematics environment, skills of developing foundation of informal mathematics knowledge,

Probability can be a complex field of mathematics, but in its simplest definition it is the likelhood of an event being true divided by the total number of possibilities. For example, flipping a coin has two possibilities: heads or tails. There is only one way for a coin to land on heads, so the answer to this probability question is 1:2.

Gambling is also usually associated with probability theory. This is a good example of the probability theory as this is what the bookies use to set the odds for gambling.

Probability is known as mutually exclusive events, The sum of Separate probabilities likely to be one event occur or another.

Probability is known as mutually exclusive events, The sum of Separate probabilities likely to be one event occur or another.