Language in Mathematics: Foundation Level

This article explores the importance of language in mathematics for learners at the foundation level. It discusses how language can enhance understanding and promote a strong foundation in mathematics. The article also highlights the role of teachers in introducing effective language and the use of different resources to support learning. The content is relevant to the subject of mathematics and the course code and college/university are not mentioned.

Assignment 3: Folio template
Concept: Language in Mathematics
Selected levels: __Foundation___________
Year level: Foundation
Content descriptor
Select one content descriptor to focus on in
each level that directly correlates to your
concept and shows a clear progression.
According to Meiers and Trevitt (2010), language in mathematics has been an interesting
topic in forming the foundation of learns in school. Both teaching and learning maths can be
made easier with use of language. The base of a learner is formed at this stage and proper
language determines their learning structure.
Curriculum connections
Description of how the concept is addressed,
and how it progresses throughout each level.
Learners at foundation stages consider mathematics as a foreign language. The language
used will determine the challenges which the learners experience. Counting, measuring and
any other way of ‘doing’ are considered as some of the important languages for the learners
at foundation level. This will help the learners to have a different perspective of this
‘foreign language’. Use of multiple semiotic register and grammatical patterns are
important languages which helps to improve the capacity of the leaners. The teachers play
an important role in introducing the leaners to the use of effective language to embrace
mathematic. Teachers are encouraged to use language which will unpack and explain the
meanings of the symbolic factors of the subject through the multi-semiotic nature of the
subject. Proper communication is used a key part to form the understanding of the
mathematics. Understanding the languages are important in promoting the understanding of
the subject. In cooperating stories in the curriculum helps the learners to figure out the
mathematical concepts. These are some of the languages which play important role for the
foundation of the learners. The architectural objects help the learners to figure out the
combination of mathematical concepts for better understanding and foundation.
Resource
Include the name of the resource, evidence of
the resource and a brief description.
Please note, 2 out of the 3 resources must be
Church [image]. (2014). Retrieved from http://flavorwire.com/330293/10-amazing-
examples-of-architecture-inspired-by-mathematics/2 - this articles is able to show the
importance of the images in helping leaners to understand the concepts.
Pappas, T. (2011). The magic of mathematics discovering the spell of mathematics. Wide

ICT resources. World Publishing. – the book is able to provide a clear evidence for the need to language to
help learners in understanding concepts.
Nastasi, A. (2014). 10 amazing examples of architechture explained. Retrieved from
http://flavorwire.com/330293/10-amazing-examples-of-architecture-inspired-by-
mathematics/2 - this source provides different architectural designs, which help the learners
in understanding maths concepts.
Meiers, M. and Trevitt, J. (2010). Language in the mathematics classroom. NSW: ACER.
Retrieved from http://research.acer.edu.au/cgi/viewcontent.cgi?
article=1006&context=digest – language types which helps the learners to understand
concepts. The choice of the language depends on the learners and their understanding
capacity.
Australian Association of Mathematics Teachers [AAMT]. (2009). School mathematics for
the 21st century. Retrieved from
http://www.aamt.edu.au/Publications-and-statements/Discussion-papers/Maths-for-the-
21st-century - the government also supports the need for different languages to learners to
promote their understanding.
Rationale
Justification for your resource selection. This
must be supported by academic literature.
Images are important part of communication skills. The church image selection is able to
enhance the learners understanding through presentation of the images. The learners at
foundation level are at discovery stages and the images acts as a perfect method of teaching
them symmetry and patterns in mathematics. Nastasi (2014), is able to present the same
architectural ideas on enhancing students learning. The exploration and explanation of
different architecture examples is used as a language for the learners. This language aims at
increasing the creativity of the learners. The selection of this source is made because of its
unique nature to address the learners creativity at foundation level.
Introducing the magical nature of the mathematics to foundations helps the concepts to stick
to their memory. This is an important rational of choosing the book by Pappas, (2011). The
magic in mathematics helps to improve the discovery nature of the learners and also making
the subject interesting. This is an important language which will help to increase the
creativity of the learners.
Meiers and Trevitt, (2010) is is able to present the need for the mathematics language at
foundation level. The authors are able to explain the importance of language to prepare
proper future of the learners to understand the concepts of mathematics. The author

highlights that the proper language at the foundation level will ensure that the learners have
the right motivation for studying mathematics. The resource is selected to explain the need
for proper language at this level.
The Australian Association of Mathematics Teachers (2009) is another important source
which is highlighting the need for the use of proper language for the foundation class. This
stage is critical according to the association to form a proper foundation for the learners to
embrace mathematics. The source is chosen because it focuses on what language can be
able to deliver in leaners and its impact.
Concept: Mathematics beyond classroom
Selected levels: __YEAR ONE__________
Content descriptor
Select one content descriptor to focus on in
each level that directly correlates to your
concept and shows a clear progression.
Boaler (2009), notes that there are different ways to helps the learners to achieve more in
mathematics. Providing the experience beyond the classroom environment will help the
learners to learn and love maths more. He adds that year one learners are at discovery stage
and it is important to help- them in exploring more than the classroom environment.
Curriculum connections
Description of how the concept is addressed,
and how it progresses throughout each level.
According to Boaler (2009), the discovery stage of the leaners need to be addressed beyond
the doors of the classroom. Their creativity and learning will be highly promoted at such
environments. In addition, the beyond classroom learnings makes the subject fun and
interesting. Through the exposure of the learners, moral to study is increased and they end
up loving the subject more. In addition, this concept is also promoted by the Australian
Government Department of Education Employment and Work Relations [DEEWR], (2009).
DEEWR is able to appreciate the effort of the learning in the families. This is an out of
classroom activity which helps the learners to be able to embrace and love the subject more.
The family environment is able to play a critical role in providing an enabling environment
for the learner to be able to concentrate on the studies. In addition, the concept of outdoor
study of the mathematic is also addressed in the Australian Curriculum structure. The
structure offers different learning options and platforms to help the learners get different

concepts at different environments. The structure appreciated the exposure on different
environments to grow the learners (Australian Curriculum, Assessment and Reporting
Authority [ACARA], (2017f).
Resource
Include the name of the resource, evidence of
the resource and a brief description.
Please note, 2 out of the 3 resources must be
ICT resources.
Boaler, J. (2009). The elephant in the classroom: Helping children learn and love maths.
London: Souvenir Press.
Australian Government Department of Education Employment and Work Relations
[DEEWR]. (2009). Early years learning framework. Canberra: Commonwealth of Australia.
Retrieved from https://www.dss.gov.au/our-responsibilities/families-and-children/
programmes-services/early-childhood-child-care/early-years-learning-framework
Australian Curriculum, Assessment and Reporting Authority [ACARA]. (2017f). Australian
Curriculum: F-10 overview: Mathematics structure: Australian Curriculum v.8.3. Retrieved
from http://www.australiancurriculum.edu.au/mathematics/structure
Rationale
Justification for your resource selection. This
must be supported by academic literature.
The main choice for the resource by Boaler (2009), is the ability to explain the concepts and
its importance to the students. He is able to elaborate the need to have the exposure for the
leaners to help them in loving the subject. He appreciates that the learning will be made
easier by the fun and love for the subject. This is created by the different exposure of the
leaners to different views. In addition, creativity of the learners is also enhanced through the
outdoor exposure. The leaners are able to visualizes the different concepts in different ways.
These are critical ways which help the learners to appreciate the learning in class.
The second source is the Early years learning framework by Australian Government
Department of Education Employment and Work Relations [DEEWR]. (2009). This source
is important since is looks at different ways in which the learning of the year one can be
improved. The out of classroom learning is also appreciated in this source and it shows that
the source looks at the impact of the method. The source appreciates the external
contribution by the families in the growth and helping of the learners to learn different
concepts. This shows that the family contribution, which is out of the class learning is well
appreciated to help the learners to grasp the concepts.
Also, another source is the Australian Curriculum: F-10 overview: Mathematics structure.
This source is able to appreciate the different ways which the curriculum is able to ensure

the leaners grasp the indoor class concepts. The source recommends the use of the outdoor
activities to improve the creativity and learning process of the learners. This source is
therefore important in helping to understand why outside the classroom is important for the
learners. It is therefore important to appreciate the contribution of the curriculum to ensure
that the learners achieve the outdoor activities.
Concept: Understanding Mathematics concepts
Selected levels: __Year Two___________
Content descriptor
Select one content descriptor to focus on in
each level that directly correlates to your
concept and shows a clear progression.
According to mmgrillo7, (2007), is able to highlight different factors which can help the
learners to understand maths more. The author highlights the different factor and methods
are applied to the learners at this level to ensure they grasp the concepts. Use of pictorial,
real experiences and other methods can be applied to ensure learners understand the
concepts.
Curriculum connections
Description of how the concept is addressed,
and how it progresses throughout each level.
The understanding concept of mathematics is presented through the use different ways. The
authors of different articles are able to show the different methods which can be used to
make the student understand the subject. The use of pictures and models are being focused
on helping the learners to understand mathematics. Use of more than one method is insisted
to ensure that the learners are able to understand the maths concepts. Use of real life is
experiences are important to ensure the students get to understand the concepts of numbers.
The use of cards and counting objects are being focused to help the learners to understand
the maths concepts. The authors also explain that there are different ways which the tutors
can use to explain the same concepts to the learners to ensure they understand. The use of
ICT is also another important concept which the authors mention can be used to enhance
the understanding of mathematics. The learners at this level can understand the different
methods used to teach them. The learners are able make a choice on the best of the method
to use it when presented with the similar problems to solve.
Resource Mmgrillo7. (2007, November 27). Real life math [video file]. Retrieved from

Include the name of the resource, evidence of
the resource and a brief description.
Please note, 2 out of the 3 resources must be
ICT resources.
http://www.youtube.com/watch?v=HtqlIVN9bh8
Australian Association of Mathematics Teachers [AAMT]. (2009). School mathematics for
the 21st century. Retrieved from
http://www.aamt.edu.au/Publications-and-statements/Discussion-papers/Maths-for-the-
21st-century
Education Services Australia. (2014). Language learning space. Retrieved from
http://www.lls.edu.au/
Rationale
Justification for your resource selection. This
must be supported by academic literature.
The source, Real life math [video file], is chosen because it explains the different concepts
to learners. This source is able to present the vital methods which are meant to help the
learners to understand the different concepts. The learners at this stage are able to have a
choice on the method they will adopt to solve the problems (mmgrillo7, 2007). The critical
role to test the understanding of the learners is to provide the different ways for them to
choose which is easier for them to understand at this level. In addition, learners at this 21st
century are able to understand the ICT concepts easily. Introducing the ICT concepts in
learning mathematics makes is more understandable. The ICT also makes subject
interesting to the learners. The learners are able to develop more interest when the ICT is
involved in their learning activities (Australian Association of Mathematics Teachers
[AAMT], 2009). The Australian curriculum is also seen to understand that at this level, the
learners are able to adopt the different methods of teaching and thus able to make a choice
on which one to adopt. Using the interesting features during learning makes the student
attentive and able to learn faster (Education Services Australia, 2014). ICT language is able
to promote the student creativity and decision making on choice of formula to use. In
addition, the choice of another selection is that the need for the histories and cultures for the
learners to understand the concepts. The learners are brought up with certain culture trends
and involving them in their learning makes them understand the concepts easy. This is a key
reason for choosing the source Aboriginal and Torres Strait Islander histories and cultures
resources: Mathematics. Supporting the implementation of the Australian Curriculum
cross-curriculum priorities. The source shows that the government is able to support
involving history and culture to the learners at this stage.
References

Australian Association of Mathematics Teachers [AAMT]. (2009). School mathematics for the 21st century. Retrieved from
http://www.aamt.edu.au/Publications-and-statements/Discussion-papers/Maths-for-the-21st-century
Australian Association of Mathematics Teachers [AAMT]. (2009). School mathematics for the 21st century. Retrieved from
http://www.aamt.edu.au/Publications-and-statements/Discussion-papers/Maths-for-the-21st-century
Australian Curriculum, Assessment and Reporting Authority [ACARA]. (2017f). Australian Curriculum: F-10 overview: Mathematics structure:
Australian Curriculum v.8.3. Retrieved from http://www.australiancurriculum.edu.au/mathematics/structure
Australian Government Department of Education Employment and Work Relations [DEEWR]. (2009). Early years learning framework.
Canberra: Commonwealth of Australia. Retrieved from https://www.dss.gov.au/our-responsibilities/families-and-children/programmes-
services/early-childhood-child-care/early-years-learning-framework
Boaler, J. (2009). The elephant in the classroom: Helping children learn and love maths. London: Souvenir Press.
Church [image]. (2014). Retrieved from http://flavorwire.com/330293/10-amazing-examples-of-architecture-inspired-by-mathematics/2 - this
articles is able to show the importance of the images in helping leaners to understand the concepts.
Education Services Australia. (2014). Language learning space. Retrieved from http://www.lls.edu.au/
Meiers, M. and Trevitt, J. (2010). Language in the mathematics classroom. NSW: ACER. Retrieved from
http://research.acer.edu.au/cgi/viewcontent.cgi?article=1006&context=digest
Mmgrillo7. (2007, November 27). Real life math [video file]. Retrieved from http://www.youtube.com/watch?v=HtqlIVN9bh8
Nastasi, A. (2014). 10 amazing examples of architechture explained. Retrieved from http://flavorwire.com/330293/10-amazing-examples-of-
architecture-inspired-by-mathematics/2
Pappas, T. (2011). The magic of mathematics discovering the spell of mathematics. Wide World Publishing.