Number theory

children are likely to be helpful/unhelpful in scaffolding their thinking (Bottle, 2005). Drews (2007) also noted that whilst structured manipulatives, such as, Dienes and Cuisenaire are especially helpful for children struggling with decomposition and number property and relationships, unstructured manipulatives such as Multilink, counting materials or collections of shapes are more versatile and encourage children’s own application. The ability to use manipulatives in diverse ways encourages…

Counters are tokens which represent units or numbers, so they can be anything. Teachers can cheaply acquire or make a bulk amount of counters to use. Some examples of what teachers often use for this manipulative are: dried beans, popcorn kernels, jelly beans, colored paper squares, marshmallows or…

dark ages were not really a time of darkness. There were great advancements and inventions during that time. During the Medieval Times, there were many advances in agriculture, science and architecture. Some of the advances include the change of the number system, the change of animals in which they used to farm and the gothic architecture used during this time. There were many advances in agriculture during the middle ages. Many peasants farmed the land with different grains such as wheat,…

that do receive education at primary or secondary stages, Asians are considerably better at math than of the U.S. Educators, researchers, and many other personal beliefs have strongly made arguments over this given situation. Some stated that, the number system in Asian countries is intuitive which makes calculation very easy. Others expressed that students from Europe and US have way higher conceptualization math skills, than of the Asians. On the other hand, “ Why do Asians do better in Math?”…

1. Growth Mindset Theory describes how children (and adults) tend to develop fixed mindsets regarding the study of math. How would you help children (and adults) develop a growth mindset in terms of their approach to learning mathematics? A growth mindset is one that is not fixed. You are open to change. A fixed mindset is one in which they believe that intelligence is a static trait whereas a growth mindset is where they believe intelligence can be developed by various means such as through…

Note: As you begin to insert your responses to the prompts found in this document, please be sure to save it frequently, (and note the location of the file) so as to not lose any of your work. Once completed, you will submit this document to WGU for grading. Instruct What student misconceptions have you encountered related to fraction, decimal, and percentage concepts? How do you help students understand the notion of equivalence among fractions or prepare them for this understanding? One…

360 was used for circles The Sumerians also gave us the decimal system. The Hindu’s gave us the Arabic Numeral System which gave mankind counting numbers. With the extension of numbers, math took off. The Hebrew’s gave us another numeral system but this one went into the hundreds. The Babylonians gave us the digit 0 and then we had a a completed number system for that time. Agriculture was a ginormous element when civilization was first coming together and it has stuck with humans all through…

Computers have all but replaced humans for doing complex calculations. But computers handle numbers much differently than humans do. At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But…

student will start to develop their place value knowledge once they are confident using number names, classifying objects, identifying patterns and as they begin to develop their counting skills. From Year 1, the Australian Curriculum expects students to count collections to 100 by partitioning numbers using place value (ACARA, 2016). This means students need to learn about grouping in tens and that two-digit numbers are made up of tens and ones. Booker, Bond, Barrow and Swan (2014, p. 87)…

ELED 350 Lesson Plan Template This lesson plan template is designed to support pre-practicum teacher candidates’ growth in the area of developing well-structured lessons with challenging, measurable objectives and appropriate student engagement strategies, pacing, sequencing, activities, materials, resources, technologies, and grouping This lesson is written by: Brittany Martins and Alexis Silva in collaboration with (Julia Schwarz, Amy Quill, and Victoria Drew) to be taught in Mrs. Berube’s…