Big Ideas Covered
Week 7 focused on the multiple concepts of place value, and the related teaching sequence.
The images below identify the BIG IDEAS of Week 7.
I found the tutorial very interesting as I learnt about different number bases. I hadn’t actually been taught about different number bases before, so although it was interesting, I did find it quite difficult to understand. Furthermore, I also found the lecture on the teaching sequence of place value very helpful. As a future educator, I will ensure that I teach each student different number bases using MAB Blocks.
Concept, Skill or Strategy
Within place value, the position of a digit will determine the value (Reys et al, 2017). For example, the value of the digit 4 with 450 is 400 and the value of the digit 4 with 45 is 40.
Misconception
A misconception that a student may develop is that a number is to be written how it is read aloud (Reys et al, 2017). For example, 464 may be read aloud to a student, in which an educator would say “four hundred and sixty-four”. Yet, if this student does not understand important place value concepts and how to write a number, it is quite likely that this student would write 400644. As a future educator, I could remediate this misconception through teaching each student how to write a number using a place value sheet and a numeral expander.
ACARA + Scootle
Year Level: Foundation and 1
Importance of Zero is a scootle resource which could be used to teach the concept of zero as a place holder within place value. This resource aligns with the symbolic language stage. A possible limitation of this resource is that the character within the video speaks very quick which can make it difficult for a student to comprehend what is being said.
Resource or Teaching Strategy
Place Value Ice-Cream Cones is a fantastic resource which could be used to teach the concept of place value. When using this resource, a student is required to represent a number in written form, as an equation, using MAB Blocks, and using place value terminology. Therefore, a student must be at the symbolic language stage to use Place Value Ice-Cream Cones. A limitation of this resource is that a student may find it quite difficult to complete independently if all cards (ice-cream flavours) are given at once, especially if the concept of place value has only just been taught.
Video Demonstration: Place Value Ice-Cream Cones
Concept, Skill or Strategy: Textbook
Reys et al, pp. 221-222, explains the concept of using ungrouped and pre-grouped materials to develop each students’ understanding of place value. Through ungrouped materials, each student is able to decide wether a group of ten or one hundred can be formed and if so, use tape to form a group. I would teach this concept in Year 1, in which I would give each student paddle pop sticks and string and ask each student to form as many groups of ten as possible.
Resources
ABC Education. (1998). Importance of Zero [Video]. Retrieved from: http://education.abc.net.au/home#!/media/2006751/
Australian Curriculum, Assessment and Reporting Authority. (2015). Mathematics: Sequence of Content. Retrieved from: https://www.australiancurriculum.edu.au/media/3680/mathematics_-_sequence_of_content.pdf
Harvanek, A. (2015, November 17). Ice-Cream Place Value. [Youtube Video]. Retrieved from: https://www.youtube.com/watch?v=zBxNFi3EQE4
Jamieson-Proctor, R. (2019). EDMA241, Week 6 Part 1. [Powerpoint Slides]. Retrieved from: https://leo.acu.edu.au/mod/book/view.php?id=2406579&chapterid=190017
Jamieson-Proctor, R. (2019). EDMA241, Week 6 Part 2. [Powerpoint Slides]. Retrieved from: https://leo.acu.edu.au/mod/book/view.php?id=2406579&chapterid=190018
Reys, R., Lindquist, M., Lambdin, D., Smith, N., Rogers, A., Cooke, A., Ewing, B., Robson, K & Bennett, S. (2017). Helping Children Learn Mathematics. (2nd ed.). Milton: John Wiley & Sons.
Twinkl. (n.d.). Place Value Ice-Cream Cone Matching Activity Tens and Ones. Retrieved from: https://www.twinkl.co.uk/resource/t-n-2426-place-value-ice-cream-cone-matching-activity-tens-and-ones
EDMA Reflective Journal 