Active Learning At The Heart Of Mathematics
Frank Quinn
Module MCS 3017
8th December 2014
Cockcroft (1982) states that problemsolving ability lies “at the heart of mathematics” (p.73). The report also identifies in Para 243 the importance of offering the opportunity to pupils to engage in problemsolving including the application to everyday situations. This has been further promoted through the importance of the Cross Curricular Skills of the Revised Northern Ireland Curriculum which promotes using mathematics, using communication and using information and communications technologies (uICT). The curriculum experience also requires the development of each pupil in the domains of thinking skills and …show more content…
Problem solving in mathematics provides a window for the teacher to obtain a view of the child’s understanding of concepts within mathematics as they move through the childhood concept development sequence (Charlesworth et al, 2011). The assessment of this information can be gained through observing the child or using effective questions to draw out the child’s cognitive creative thinking as they develop the solutions for the problem. In the Foundation stage, children discover problems through playbased activities, for example, they use nonstandard units of measurement such as blocks or Lego, to build a desired construct, thus they learn how to recognise and use informal measurement. As the child grows and develops they

Essay on Active Learning
496 Words  2 PagesActive Learning “Hear and Forget, See and Remember, Do and Understand.” ~ Chinese Proverb Simply stated by Dr. D. Robinson, “ Active learning is ‘doing’ and this leads to understanding.” Learning by doing is a theme that many educators have stressed since John Dewey’s convincing argument that “children must be engaged in an active quest for learning and new ideas”. (Hendrikson, 1984) Jean Piaget also stressed the need for concrete operations in early childhood. Some educators incorrectly…

Questions On Learning And Teaching Mathematics
1941 Words  8 PagesAssignment #1 Sonia Minoza Math 311 Jeff O’Keefe October 15, 2014 Learning and Teaching Mathematics o Affective Domain: growth in feelings or emotional areas (attitude or self) The affective domain includes the manner in which we deal with things emotionally, such as feelings, values, appreciation, enthusiasms, motivations, and attitudes. o Cognitive Domain: mental skills (thinking) Knowledge, Comprehension, application, analysis, synthesis How to nurture the Affective and…

The Active Heart Rate
1350 Words  6 PagesThe active heart rate dotplot has a slightly short tail to the right and a long tail to the left. This is because most of the values are clustered toward the right side of the xaxis as the larger values locate in this place, with increasingly less values on the left side of the xaxis which are the smaller values. Therefore the active heart rate dotpot is moderately negatively skewed. The greater the skewing, the larger the difference between the median and mean. Therefore, the resting heart rate…

The Learning Of Mathematics And Mathematics
1365 Words  6 Pagesnecessary skills to see connections in mathematic concepts, Big Ideas must be employed by educators. The Australian Curriculum supports the use of Big Ideas to deepen students understanding of mathematical content. Students learn effectively when they can see connections between concepts. The most effective way to link an array of mathematical concepts is through Big Ideas. A Big Idea is defined as a “statement of an idea that is central to the learning of mathematics, one that links numerous mathematical…

Questions On Mathematics Learning And Teaching
1297 Words  6 PagesMathematics Learning & Teaching A. Describe how teaching for problem solving is used in the attached lesson plan, “Problem Solving in Algebra I.” The teacher is using direct lecture to model to the students how to problem solve using specific methods and steps. Later on, the teacher has a set of problems that will reinforce those methods and steps. 1. Discuss two reasons why teaching for problem solving is an ineffective method in the attached lesson plan. In teaching for problem solving, students…

Cooperative Learning in Mathematics Essay
1498 Words  6 PagesCooperative Learning in Mathematics There have recently been many new trends towards the use of cooperative learning in many classrooms, particularly in mathematics classrooms. Cooperative learning involves students working together to accomplish shared goals. In this type of situation, students must feel they can only reach their learning goals if the other students in their group also reach their own learning goals. Students have to understand their achievements are interrelated…

Active Learning Is The Best Option Of Learning
765 Words  4 PagesActive learning is productive, enhances opportunities and is supported or directed by technology. However, that is not to say that active learning is the best option of learning for all. To determine how well students learn while not physically in a classroom we need to evaluate how well learning takes place in online classroom environments. Skorton (2013) documented “that an online course has the potential to transform higher educations with substantial benefits for students, their eventual employers…

Rethinking The Active Learning Movement
1603 Words  7 PagesRethinking the Active Learning Movement – It was Never All or Nothing Over the past 25 years the movement to adopt learnercentered pedagogy has gained main stream acceptance, to the point that all higher education faculty are expected to include such methods in every class. Educational critiques, opinion editorials, research and data have driven policy and practice towards the universal application of active learning techniques in place of traditional lecturing. In the Report to the President…

Benefits Of Studying And Learning Mathematics
1681 Words  7 PagesThe benefits of studying and learning mathematics have been the source of much research and debate. Recently, Michigan State University and Wayne State University have chosen to drop algebra from their general education requirements (Joselow, 2016). These two university decisions seem to conflict with the numbers of students who test into developmental mathematics every year. In a 2015 article written by Judith Keller, she stated that “… 60% of community college students require at least one…

Active Learning Is The Key For Understanding, Not Passive Learning
912 Words  4 PagesActive Learning is the Key to Understanding, Not Passive Learning According to Paulo Freire, a Brazilian educator and philosopher, the current education lacks teacherstudent communication. In his article he reveals that, “Instead of communicating, the teacher issues communiques and makes deposits which the students patiently perceive, memorize, and repeat. This is the “banking” concept of education, in which the scope of action allowed to the students extends only as far as receiving, filing, and…
More about Active Learning At The Heart Of Mathematics

Essay on Active Learning
496 Words  2 Pages 
Questions On Learning And Teaching Mathematics
1941 Words  8 Pages 
The Active Heart Rate
1350 Words  6 Pages 
The Learning Of Mathematics And Mathematics
1365 Words  6 Pages 
Questions On Mathematics Learning And Teaching
1297 Words  6 Pages 
Cooperative Learning in Mathematics Essay
1498 Words  6 Pages 
Active Learning Is The Best Option Of Learning
765 Words  4 Pages 
Rethinking The Active Learning Movement
1603 Words  7 Pages 
Benefits Of Studying And Learning Mathematics
1681 Words  7 Pages 
Active Learning Is The Key For Understanding, Not Passive Learning
912 Words  4 Pages