This chapter investigates the possibilities available when teachers and children engage in learning and teaching literacies with print and digital materials. The data reported was collected as part of a 5-year school reform project set in... more
This chapter investigates the possibilities available when teachers and children engage in learning and teaching literacies with print and digital materials. The data reported was collected as part of a 5-year school reform project set in one school in a high-poverty community. The main project aimed to investigate whether a focus on teacher professionalism, collaborative curriculum planning and reshaping pedagogy could have a positive effect on student outcomes. The student population at the school was diverse, and there was an identified need to connect substantively with the outside school lives of the student cohort more effectively. Here we report on the results of one component of the larger project where the teacher of one preparatory class and researchers worked collaboratively to digitise the curriculum. This shared work led to the introduction of new texts, tools and technologies into the curriculum. The analysis of work samples, interview transcripts and classroom observa...
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This paper reports on part of a larger study and examines the changing nature of mathematics teaching and tasks. Two Year 4 classes were compared after mathematical-modelling tasks were undertaken with and without top-level structuring.... more
This paper reports on part of a larger study and examines the changing nature of mathematics teaching and tasks. Two Year 4 classes were compared after mathematical-modelling tasks were undertaken with and without top-level structuring. The results indicate that mathematical-modelling and top-level structuring tasks can advance mathematical literacy. Where students are guided through information organisation and mathematising through quality teaching, they can make sense of the mathematical world. Also evident was the vital role of the teacher in creating a positive learning environment through facilitating discourse and literacy development in mathematics students. Recommendations for teaching are given. Indications evidenced here warrant further investigation. The nature of mathematics teaching and classroom activities is changing in an endeavour to meet the needs of today’s students. The role of the teacher is changing from that of main instructor, teaching rules and correcting r...
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... To Jen and Mary: Thank you for always being there. I appreciate your work and support. Beannacht Dia Linn To my special friends Robyn and Daley who have stood by me forever: You have provided me with a haven of escape, kept me... more
... To Jen and Mary: Thank you for always being there. I appreciate your work and support. Beannacht Dia Linn To my special friends Robyn and Daley who have stood by me forever: You have provided me with a haven of escape, kept me grounded, and almost sane. Thank you. ...
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ABSTRACT
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Internationally, educators are concerned about effective methods to empower students with skills to equip them to function in a technological, global world. This paper reviews literature that explores the relationship between mathematical... more
Internationally, educators are concerned about effective methods to empower students with skills to equip them to function in a technological, global world. This paper reviews literature that explores the relationship between mathematical problem solving and literacy, through mathematical modelling and top-level structuring of text. The mathematical modelling problem solving process offers students an opportunity for learning mathematical skills through what
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The effects of reading comprehension on the mathematical-modelling problem-solving process is yet unresolved. This paper reports on a study conducted with two classes of year four students. It investigated the extent to which a literary... more
The effects of reading comprehension on the mathematical-modelling problem-solving process is yet unresolved. This paper reports on a study conducted with two classes of year four students. It investigated the extent to which a literary organisational structuring strategy: top-level structure, may change students' engagement in mathematical modelling. Mathematical-modelling problems require students to negotiate various texts as they negotiate the problem-solving process to learn mathematical skills. The strategy of top- level structuring aids students to structurally organise textual information, and to elicit and recall the main idea of texts. This research illustrated that top-level structuring can make a difference to young students' mathematical-modelling outcomes to some degree. Further in-depth research on the issues raised here is warranted. We live in a technologically advancing society. Students need to be prepared thoroughly through the provision of learning opp...
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This paper reports on part of a larger study and examines the changing nature of mathematics teaching and tasks. Two Year 4 classes were compared after mathematical- modelling tasks were undertaken with and without top-level structuring.... more
This paper reports on part of a larger study and examines the changing nature of mathematics teaching and tasks. Two Year 4 classes were compared after mathematical- modelling tasks were undertaken with and without top-level structuring. The results indicate that mathematical-modelling and top-level structuring tasks can advance mathematical literacy. Where students are guided through information organisation and mathematising through quality teaching, they can make sense of the mathematical world. Also evident was the vital role of the teacher in creating a positive learning environment through facilitating discourse and literacy development in mathematics students. Recommendations for teaching are given. Indications evidenced here warrant further investigation. The nature of mathematics teaching and classroom activities is changing in an endeavour to meet the needs of today's students. The role of the teacher is changing from that of main instructor, teaching rules and correc...
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The interaction between Australia's Eurocentric education and the complex culture of remote Indigenous communities often results in Indigenous disempowerment and educational underperformance. This paper reports on a... more
The interaction between Australia's Eurocentric education and the complex culture of remote Indigenous communities often results in Indigenous disempowerment and educational underperformance. This paper reports on a mathematics-education research project in a remote community to support Indigenous teacher assistants (ITAs) in mathematics and mathematics tutoring in an attempt to reverse Indigenous mathematics underperformance. It discusses teachers' and ITAs' power and authority within school and community, describes the project's design, and summarises the project's results in terms of affects and knowledge. It draws implications on the relation between ITA professional development (PD), affect, esteem, knowledge, authority, teacher-ITA partnerships, and enhanced Indigenous mathematics outcomes. For the last six years, we have been visiting remote communities to work with schools in an attempt to reverse the mathematics underperformance and low retention ra...
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Australian Original people belong to the longest surviving culture on the Earth. Their Original Lore holds an infinite human survival code. These people belong to a language of metaphor that holds Cosmic Codes which reveal asymmetrical... more
Australian Original people belong to the longest surviving culture on the Earth. Their Original Lore holds an infinite human survival code. These people belong to a language of metaphor that holds Cosmic Codes which reveal asymmetrical mathematical mysteries. Australian Original ethnical-artistic languages express meanings through the multimodalities of story, imagery, music, gesture, signs, symbols, and/or spatial positioning (Doyle 2019b). The languages are timeless and cyclical inter-relating with nature. These languages enable those Original Peoples who have demonstrated ethical values as well as their convictions of upholding the Lore for the good of all, to inherit Sacred Knowledge. They are the Knowledge Holders. Therefore, trans-generational knowledge passes through the ages from the Dreamtime Original Ancestors only to and through those warranted to be deserving within their culture. This process of intergenerational messaging is the ongoing creative process of the Dreaming (Mundy 2017 – 2019; see Footnote 1). The messaging continues through infinite cycles represented in the mathematical geometrical pattern of the Golden Mean. This research used electromagnetic, stereoscopic glasses with the concepts of Bakhtin’s Great Time and the visual chronotope (Johnston 2012; 2010 [2001]; 2004; 2002) to analyse paintings by renowned Original artist, Roger “Bushfire” Saunders that he shared with his European science-art contemporaries. The research scrutinised paintings to determine how Original infinite messaging cycles from the Dreamtime through the Dreaming can be made visible in paintings. It links Original artworks directly to the Golden Mean and demonstrates the message of human survival that has ensured these Originals’ position as the first tribe of the Rainbow People (see footnote 2). The findings reveal the artistic perceptions of Dreamtime linguistic travel which is akin to time travel. Ultimately, the artistic linguistics of metaphor provides a healing message for the earth’s sustainable future.
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This ideas expressed in this paper present the findings of the Science-Art Research Centre of Australia. The Centre’s archives record its historic struggle to conduct its Science-Art Research, year by year since 1969 (Science-Art Research... more
This ideas expressed in this paper present the findings of the Science-Art Research Centre of Australia. The Centre’s archives record its historic struggle to conduct its Science-Art Research, year by year since 1969 (Science-Art Research Centre of Australia Incorporated. 2019). Material from the archives has been used to compile this paper.
The Centre has made internationally acclaimed sociological discoveries of historical importance. However it argues that the Nobel Laureate in Medicine, Albert Szent-Györgyi, co-founder of the American National Foundation for Cancer Research, in his 1972 Letter to Science was correct in his observation that the prevailing peer review educational system is gravely inadequate. He pointed out that “A discovery must be, by definition at variance with existing knowledge” (Szent-Gyorgyi A., 2 June 1972). He argued that artistic intuitive theories can lead to important major discoveries that have no meaning within the peer review educational system. In conclusion he wrote “The problem is a most important one, especially now, as science grapples with one of nature’s mysteries, cancer, which may demand [is now demanding] entirely new approaches”. The Centre considers that the global justice educational peer review system, from a medical research perspective, is responsible for allowing at its highest level of international dialogue, to be orientated by highly aggressive plutocratic legalese jargon dominated by a fossil fuel mentality unmoved by climate change scientific logic.
The Centre has made internationally acclaimed sociological discoveries of historical importance. However it argues that the Nobel Laureate in Medicine, Albert Szent-Györgyi, co-founder of the American National Foundation for Cancer Research, in his 1972 Letter to Science was correct in his observation that the prevailing peer review educational system is gravely inadequate. He pointed out that “A discovery must be, by definition at variance with existing knowledge” (Szent-Gyorgyi A., 2 June 1972). He argued that artistic intuitive theories can lead to important major discoveries that have no meaning within the peer review educational system. In conclusion he wrote “The problem is a most important one, especially now, as science grapples with one of nature’s mysteries, cancer, which may demand [is now demanding] entirely new approaches”. The Centre considers that the global justice educational peer review system, from a medical research perspective, is responsible for allowing at its highest level of international dialogue, to be orientated by highly aggressive plutocratic legalese jargon dominated by a fossil fuel mentality unmoved by climate change scientific logic.
Research Interests: Mathematics, Medical Sciences, Philosophy, Philosophy of Science, Climate Change, and 12 morePlato, Philosophy Of Mathematics, History of Science, Art and Science, Plato and Platonism, Visual Arts, Stereoscopic 3-D, Salvador Dali, Arts and Sciences, The Survival of the Human Species, Humanity survival, and human survival science
This paper summarizes a science-based healing model for planetary salvation during the cosmic battle between good and evil which—on a human-planetary scale—is called the Paradigm Shift. The fundamental shift in scientific models requires... more
This paper summarizes a science-based healing model for planetary salvation during the cosmic battle between good and evil which—on a human-planetary scale—is called the Paradigm Shift. The fundamental shift in scientific models requires replacement of the prevailing symmetrical mathematics of quantum mechanics which lead to entropy with the asymmetrical sacred geometry defined by Plato—the vectors of Higgs fields as applied in quantum field theory (QFT). Because vectors are the key to such a paradigm shift, The Background section of the paper is a brief summary of the dynamics of peripheral vision, and the paper is divided into two sections. The first section is a summary of the problems encountered with Einstein's symmetrical QM mathematics and a summary of Descartes' errors—both of which have generated much modern human psychosis. The second part is a discussion of correlates that exist between Maharishi Ayurveda, quantum field theory, the Chakra system as quantum field, and the Ajna center (3rd eye) that is correlated with the physical eye. Correlating these seemingly diverse fields requires integrating color dynamics of the Ajna chakra (determined by meditative research) with mathematical dynamics of peripheral vision in the physical eye. Because peripheral vision in the physical eye is not color sensitive, the color spectrum at this scale of peripheral vision must be mathematically extrapolated. Theoretically, such extrapolation becomes possible by correlating the dynamics of the Ajna chakra with known mathematical dynamics of peripheral vision. Finally, data gained with reference to the 3rd eye visualization of the “Antakarana” can provide critical information relative to angles of refraction that can generate a dimensional shift to effective human ethics.
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Szent-Gyorgyi, the Co-founder of the American National Foundation for Cancer Research and the Nobel Laureate in medicine, addressed the youth of the day in his 1970 publication, The Crazy Ape. He questioned why a science that professes to... more
Szent-Gyorgyi, the Co-founder of the American National Foundation for Cancer Research and the Nobel Laureate in medicine, addressed the youth of the day in his 1970 publication, The Crazy Ape. He questioned why a science that professes to elevate human life ultimately appears to destroy it. The duality of his message was one of warning as well as one of positivity releasing a solution to enable the young and ultimately all people of the world to free themselves from a disease inherited from our simian ancestors. This disease manifests through carcinogenic science which obeys the survival of the fittest paradigm observable in nature. In 1978, UNESCO proclaimed that all humans belonged to a single species. It is 1.
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This paper refers to the Science-Art approach to education adopted by C P Snow who was critical of the prevailing understandings regarding The Second Law of Thermodynamics. Snow argued that prevailing science’s grasp of that law belonged... more
This paper refers to the Science-Art approach to education adopted by C P Snow who was critical of the prevailing understandings regarding The Second Law of Thermodynamics. Snow argued that prevailing science’s grasp of that law belonged to the schizophrenic mentality of our Neolithic ancestors. It is considered that the scientific dogma that the extinction of all life in the universe is inevitable due to the supremacy of The Second Law of Thermodynamics, is now a serious medical problem as it disallows the living process to evolve toward infinity. It is proposed that, following Platonic Philosophy, a human survival blueprint can be obtained.