My First Template
Be g in with so me histo ric a l c o nte xt. I CMI - I nte rna tio na l Co mmissio n o n Ma the ma tic a l I nstruc tio n. I CMI c o mmissio ns o c c a sio na l Studie s o n to pic s o f c urre nt inte re st in ma the ma tic s e duc a tio n. Studie s a re b uilt a ro und a n inte rna tio na l c o nfe re nc e , le a ding to pub lic a tio n o f a Study Vo lume to pro mo te disc ussio n a nd sug g e st future dire c tio ns fo r re se a rc h a nd de ve lo pme nt. T he ve ry first I CMI Study wa s a b o ut dig ita l te c hno lo g ie s in ma the ma tic s e duc a tio n, a nd it pre se nte d a n o ptimistic visio n fo r future we nty ye a rs la te r, the 17 th I de ve lo pme nt. T CMI Study re visite d this sa me to pic , with the re a lisa tio n tha t c ha ng e ha d pro c e e de d mo re slo wly tha n a ntic ipa te d. I n pa rtic ula r, we kno w no w tha t la rg e sc a le inte g ra tio n o f dig ita l te c hno lo g ie s into ma the ma tic s e duc a tio n is a ma jo r c ha lle ng e . At the time o f the first I CMI Study, re se a rc h fo c use d o n the te c hno lo g y itse lf a nd its ma the ma tic a l po te ntia l, a s we ll a s o n stude nts’ c o g nitito ns. Wha t wa s missing wa s inq uiry into te a c he rs’ pra c tic e s, institutio na l c o nte xts, a nd c urric ulum c ha ng e .
My First Template So if te c hno lo g y is g o ing to pro vide o ppo rtunitie s to tra nsfo rm c urric ulum, pe da g o g y a nd a sse ssme nt, wha t do we ne e d to unde rsta nd b e tte r? F o r no w I ’ m c o nc e ntra ting just o n the la st po int.
My First Template Ro b yn Pie rc e a nd K a ye Sta c e y ha ve pro po se d a ta xo no my o f the pe da g o g ic a l o ppo rtunitie s tha t a re a ffo rde d b y ma the ma tic s a na lysis so ftwa re a s a wa y o f dra wing a tte ntio n to po ssib ilitie s fo r le sso n de sig n, o f ma pping c urre nt pra c tic e , o r tra c king pro fe ssio na l g ro wth. But the ma p c a n po ssib ly b e use d fo r a b ro a de r ra ng e o f dig ita l te c hno lo g ie s. Oppo rtunitie s a rise a t thre e le ve ls tha t re pre se nt the te a c he r’ s thinking a b o ut: * the ta sks the y will se t the ir stude nts (using te c hno lo g y to impro ve spe e d, a c c ura c y, a c c e ss to a va rie ty o f ma the ma tic a l re pre se nta tio ns);
My First Template * c la ssro o m inte ra c tio ns (using te c hno lo g y to impro ve the displa y o f ma the ma tic a l so lutio n pro c e sse s a nd suppo rt stude nts’ c o lla b o ra tive wo rk);
My First Template the sub je c t (using te c hno lo g y to suppo rt ne w g o a ls o r te a c hing me tho ds fo r a ma the ma tic s c o urse ). I ’ ll use this ma p to lo o k a t o ne c la ssro o m sna psho t.
My First Template Ye a r 12 stude nts we re wo rking with a ha ndhe ld ma the ma tic a l a na lysis de vic e .
My First Template One pa ir o f stude nts de ve lo pe d this e xpo ne ntia l mo de l fo r po pula tio n y a t time x. T he stude nts the n se t y = 0 to re pre se nt e xtinc tio n o f the po pula tio n a nd trie d to use the ir c a lc ula to r to so lve this e q ua tio n.
My First Template But it re turne d a F AL SE me ssa g e . T he stude nts we re initia lly c o nc e rne d tha t this re spo nse ha d b e e n g e ne ra te d b e c a use the y ha d ma de a mista ke with the synta x o f the ir c o mma nd. T he y re -e nte re d the instruc tio n se ve ra l time s a nd trie d a numb e r o f va ria tio ns to the struc ture o f the c o mma nd. Whe n the stude nts a ske d the ir te a c he r fo r a ssista nc e , he lo o ke d a t the displa y a nd sa id tha t the re wa s no thing wro ng with the te c hnic a l side o f wha t the y ha d do ne b ut the y sho uld think ha rde r a b o ut the ir a ssumptio ns. Afte r furthe r c o nside ra tio n, a nd no pro g re ss, the te a c he r dire c te d the pro b le m to the who le c la ss. One stude nt indic a te d tha t the diffic ulty b e ing e xpe rie nc e d wa s b e c a use “yo u c a n’ t ha ve a n e xpo ne ntia l e q ua l to ze ro ”. T his re sulte d in a who le c la ss disc ussio n o f the a ssumptio n tha t e xtinc tio n me a nt a po pula tio n o f ze ro . T he disc ussio n ide ntifie d the re a so n fo r the unsa tisfa c to ry c a lc ula to r o utput a s ina ppro pria te ly e q ua ting a n e xpo ne ntia l mo de l to ze ro a nd the n c o nside re d the po ssib le a lte rna tive s. E ve ntua lly the c la ss a da pte d the o rig ina l a ssumptio n to a c c o mmo da te the limita tio ns o f the mo de l b y a c c e pting the po sitio n tha t e xtinc tio n wa s “a ny numb e r le ss tha n o ne ”. Stude nts the n ma de this a djustme nt to c a lc ula to r e ntry a nd a sa tisfa c to ry re sult wa s re turne d.
My First Template Using this pe da g o g ic a l o ppo rtunity a llo we d the te a c he r to re fo c us c o urse g o a ls a nd te a c hing me tho ds o n pro mo ting thinking a b o ut the ma the ma tic a l mo de lling pro c e ss ra the r tha n o n pra c tic e o f skills. T his sna psho t illustra te d a kind o f pe da g o g ic a l tra nsfo rma tio n a t the le ve l o f the sub je c t. But I do n’ t think this is whe re mo st c urre nt re se a rc h is lo o king .
My First Template I n a re c e nt re vie w o f re se a rc h in ma the ma tic s e duc a tio n in Austra la sia fro m 2012-2015, the c ha pte r o n dig ita l te c hno lo g ie s de vo te d 7 pa g e s to pub lishe d re se a rc h fo c using o n ne w kinds o f ta sks, 4.5 pa g e s to studie s fo c using o n c ha ng ing c la ssro o m inte ra c tio ns, a nd 3 pa g e s to studie s fo c using o n ho w the sub je c t itse lf c o uld b e tra nsfo rme d.
My First Template An Austra lia n e xa mple : the first na tio na lly c o nsiste nt c urric ulum.
My First Template L o st o ppo rtunity?
My First Template
My First Template
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