title: Cultural Influences in Probabilistic Thinking

authors: Sharma, Sashi

subjects: probabilistic thinking

abstract: Concerns about students' difficulties in statistics and probability and a lack of research in this area outside of western countries led to a case study which explored form five (14 to 16 year olds) students' ideas in this area. The study focussed on probability, descriptive statistics and graphical representations. This paper presents and discusses the ways in which students made sense of probability constructs (equally likely and proportional reasoning) obtained from the individual interviews. The findings were interpreted in relation to cultural perspective. The findings revealed that many of the students used strategies based on cultural experiences (beliefs, everyday and school experiences) and intuitive strategies. While the results of the study confirm a number of findings of other researchers, the findings go beyond those discussed in the literature. The use of beliefs, everyday and school experiences was considerably more common than that discussed in literature. The paper concludes by suggesting some implications for teachers and researchers.

text: Cultural Influences in Probabilistic Thinking Concerns about students' difficulties in statistics and probability and a lack of research in this area outside of western countries led to a case study which explored form five (14 to 16 year olds) students' ideas in this area. The study focussed on probability, descriptive statistics and graphical representations. This paper presents and discusses the ways in which students made sense of probability constructs (equally likely and proportional reasoning) obtained from the individual interviews. The findings were interpreted in relation to cultural perspective. The findings revealed that many of the students used strategies based on cultural experiences (beliefs, everyday and school experiences) and intuitive strategies. While the results of the study confirm a number of findings of other researchers, the findings go beyond those discussed in the literature. The use of beliefs, everyday and school experiences was considerably more common than that discussed in literature. The paper concludes by suggesting some implications for teachers and researchers.

year: 2012

title: Co- variation in soil biodiversity and biogeochemistry in northern and southern Victoria Land, Antarctica

authors: Barrett, John E.

subjects: habitat suitability

abstract: Data from six sites in Victoria Land (72–77°S) investigating co-variation in soil communities (microbial and invertebrate) with biogeochemical properties showthe influence of soil properties on habitat suitability varied among local landscapes as well as across climate gradients. Species richness of metazoan invertebrates (Nematoda, Tardigrada and Rotifera) was similar to previous descriptions in this region, though identification of three cryptic nematode species of Eudorylaimus through DNA analysis contributed to the understanding of controls over habitat preferences for individual species. Denaturing Gradient Gel Electrophoresis profiles revealed unexpectedly high diversity of bacteria. Distribution of distinct bacterial communities was associated with specific sites in northern and southern Victoria Land, as was the distribution of nematode and tardigrade species. Variation in soil metazoan communities was related to differences in soil organic matter, while bacterial diversity and community structure were not strongly correlated with any single soil property. There were no apparent correlations between metazoan and bacterial diversity, suggesting that controls over distribution and habitat suitability are different for bacterial and metazoan communities. Our results imply that top-down controls over bacterial diversity mediated by their metazoan consumers are not significant determinants of bacterial community structure and biomass in these ecosystems.

text: Co- variation in soil biodiversity and biogeochemistry in northern and southern Victoria Land, Antarctica Data from six sites in Victoria Land (72–77°S) investigating co-variation in soil communities (microbial and invertebrate) with biogeochemical properties showthe influence of soil properties on habitat suitability varied among local landscapes as well as across climate gradients. Species richness of metazoan invertebrates (Nematoda, Tardigrada and Rotifera) was similar to previous descriptions in this region, though identification of three cryptic nematode species of Eudorylaimus through DNA analysis contributed to the understanding of controls over habitat preferences for individual species. Denaturing Gradient Gel Electrophoresis profiles revealed unexpectedly high diversity of bacteria. Distribution of distinct bacterial communities was associated with specific sites in northern and southern Victoria Land, as was the distribution of nematode and tardigrade species. Variation in soil metazoan communities was related to differences in soil organic matter, while bacterial diversity and community structure were not strongly correlated with any single soil property. There were no apparent correlations between metazoan and bacterial diversity, suggesting that controls over distribution and habitat suitability are different for bacterial and metazoan communities. Our results imply that top-down controls over bacterial diversity mediated by their metazoan consumers are not significant determinants of bacterial community structure and biomass in these ecosystems.

year: 2006

title: Kūpapa ki raro, titiro ake

authors: Papa, Pānia Christine

abstract: Ko tā te kaituhi e manako nei i roto i tēnei tuhinga, kia āta tirohia he aha ngā huarahi i whāia ai e ngā iwi o Pōhara, hei kawe i a rātou mai i te pōharatanga ki te oranga tonutanga; mai i te noho marara ki te noho tahi; mai i te korekore ki te ao mārama. Ko te tuarua o ngā pātai kei mua i taku aroaro, he wānanga mena i tutuki pai ngā kaupapa i wawatahia ai e rātou. 
E rua ngā kōrero matua e toko ake ana i roto i ahau hei taumarumaru mō ngā whakaaro me ngā kōrero kua whakatakotoria i te tuhinga nei, hei whakautu i ngā pātai matua e rua ō runga ake nei. 
Tuatahi, 'Ko te amorangi ki mua, ko te hāpai ō ki muri'. E hāngai ana tēnei whakataukī ki te pūmautanga o ngā whakaaro o ngā tūpuna o Pōhara ki ngā kaupapa i kōkirihia ai e tō rātou rangatira, me te āhua o tā ngā tūpuna hāpai i aua kaupapa. I te tīmatanga, nā Piupiu Te Wherowhero rātou i arataki. I te rā nei, ko Te Arikinui, Te Atairangikaahu te manu whakataka pōkai i te ata hāpara, e ngāngahu tonu nei i ngā iwi o te marae o Pōhara. 
Tuarua, 'Kūpapa ki raro, Titiro ake.' Koia tēnei tētehi whakataukī whakahau i ngā uri whakatupu o te marae, o Pōhara, kua waihotia e rātou mā hei kupu ārahi i ngā uri i runga i te marae, i roto anō hoki i te ao hou. He hōhonutanga anō tō te whakataukī nei e tika ana kia whakamāramahia i roto i tēnei tuhinga, hei whāki atu i ngā rerenga kētanga o te āhua o te whakaaro o kui mā, o koro mā, me te āhua o tā rātou noho i te wā i a rātou. 
Ko te whakatau o ngā kōrero, i tutuki pai i ngā tūpuna o te marae o Pōhara ō rātou manako, nā tō rātou kaha ū ki te kaupapa o te Kāhui Ariki, me tō rātou ū ki te kaupapa o te tupuranga o te papakāinga o Pōhara hei marae mō ngā uri whakatupu. Ka noho mai tērā hei whakatohu i tō rātou pakaritanga, me ō rātou whakaaro rangatira hei tauira mā ngā uri whakaheke e whai ake ana i ngā tapuwae o ngā tūpuna. 
Ko ēnei tuhinga hei whakatinana i te ngākau nui kia waituhia ngā kōrero ā ngā rūruhi, ā ngā koroheke, mō te marae o Pōhara, kei ngaro katoa atu ngēnā kōrero e here nei i te ao kōhatu ki te ao hou. 
Nā te ngākau māhaki o ngā kaumātua i whakaae ai kia tuhia te kaupapa nei, kia puta ai ngā kōrero mō Pōhara ki te ao mārama hei painga mō ngā uri whakatupu. Nā rātou i whakatūwhera te kūaha ki tō rātou ao hei kuhu atu ki roto mā te hunga mahira. Ko ngā kongakonga kōrero i taka iho mai i ō rātou puna mahara, kua kohia-ā-rīpenehia hei taonga tuku iho mō ngā iwi o te marae. E tika ana kia puruhia te mauri o ērā kōrero e ngā whānau me ngā uri o te marae. 
I tutuki ai te taha rangahau i ngā kōrero kaumātua i te whakatū wānanga, me te uiui kaumātua. I whāia ngā huarahi e rua nei hei kohikohi i ngā kōrero-ā-waha mō te hītori o Pōhara. Arā noa atu ngā painga i kitea, o te noho tahi a ngā kaumātua i runga tonu i te marae, ki te whakawhitiwhiti whakaaro, kōrero hoki mō ngā rā o mua i waenganui i a rātou. Ā, hei whai ake i ngā kōrero i puta i ngā wānanga, i haere māua ko taku matua ki te torotoro i tēnā, i tēnā o ngā kaumātua e mōhio pai ana ki ngā kōrero, hei whakakīkī i ngā whārua, hei whakawhānui hoki i ngā kōrero. I ngāwari ake taku mahi i te haere tahitanga mai o taku matua, hei hoa mōku. Ko tāna, he āta whakamārama atu i te pūtake o te rangahau, he whakamārama hoki i te whakaaetanga o ngā kaumātua ki tērā mahi. I mōhio pai hoki ia ki ngā kōrero whānui mō te marae, ki ngā tāngata ka kōrerohia, ā, nā konā i taea e ia te whiu atu ētehi pātai, te whakamārama hoki i ahau i muri mai mō te āhua o ētehi o ngā kōrero kāore i tino mārama mai ki ahau. I tū hoki taku matua hei piriti i waenganui i te kaikōrero kaumātua me te kaiuiui rangatahi kia whakawhiti pai ai ngā pātai me ngā whakautu ki waenganui i ngā taha e rua. Koia tērā taku waimarie i roto i ngā mahi uiui kaumātua, ā, koia hoki i tutuki pai ai tērā taha o te rangahau. 
I tae mai ki aku ringa tētehi rīpene o tētehi wānanga i hopukina ai i te tau 1978. Nō taua tau, i haere ake ētehi akonga o te Tari Māori o Te Whare Wānanga o Waikato, i raro i te maru o Wharehuia Milroy ki te rapu i ngā kōrero mō te marae o Pōhara. Heoi anō, i tō rātou hokinga atu ki te kāinga, kāore te nuinga o ngā kōrero i hopukina. Ka waihotia te take nā kia tārewa, ā, tae rawa ki te tau 1990, kātahi ka riro i ahau te rīpene kotahi i ora mai, hei āwhina i aku mahi rangahau mō tōku marae. 
I rapu māramatanga ahau mō te āhua o te noho a te iwi Māori whānui i ngā rā o mua, i roto i ngā pukapuka maha kua tuhia kētia. Mō ngā kōrero mō te whenua e tū nei te marae ināianei, i haere ki te Kooti Whenua Māori, ki reira kimi ai i ngā kōrero mō te rohe o Maungatautari whānui, mō te marae o Pōhara hoki. Nā ēnei whaiwhainga, kua puta he kōrero, kua puta hoki he whakaaro hei whakawā i ērā kōrero, hei whakamārama rānei i ērā kōrero, ā, koia tēnei e takoto nei i roto i tēnei tuhinga. Ka huri ināianei ki te wetewetetanga o ngā wāhanga o roto i te tuhinga nei. 
Nō namata mai anō i tīkina atu ai te rākau i te Wao-nui-ā-Tāne hei tārai i te waka o ōku tūpuna. Tēnei au e tiki atu nei i te rākau hei tauira hanga kōrero mōku. Ko tō te rākau tupu, ki ngā whakaaro o tēnei e tuhi nei, e pērā ana ki te tupu o te kaupapa kia nohoia te marae o Pōhara e tū ana i raro i te maru o Maungatautari. 
Arā noa atu ngā tauritenga o te tupu o te rākau me tō te marae o Pōhara tupu, mai i ōna pūtakenga hei papakāinga, ki te puāwaitanga o te whakaaro kia tū hei marae mō te mokopuna a te motu, mō ngā uri whakatupu, otirā, mō te iwi whānui. 
E whitu anō ngā wāhanga o tō te rākau tupu e whakatauritehia nei i roto i ngā whārangi o tēnei tuhinga. Ko te whenua tonu hei papa mō te tupu o te rākau, mō te tupu hoki o te marae Nō reira, ka tīmata ake i konā.

text: Kūpapa ki raro, titiro ake Ko tā te kaituhi e manako nei i roto i tēnei tuhinga, kia āta tirohia he aha ngā huarahi i whāia ai e ngā iwi o Pōhara, hei kawe i a rātou mai i te pōharatanga ki te oranga tonutanga; mai i te noho marara ki te noho tahi; mai i te korekore ki te ao mārama. Ko te tuarua o ngā pātai kei mua i taku aroaro, he wānanga mena i tutuki pai ngā kaupapa i wawatahia ai e rātou. 
E rua ngā kōrero matua e toko ake ana i roto i ahau hei taumarumaru mō ngā whakaaro me ngā kōrero kua whakatakotoria i te tuhinga nei, hei whakautu i ngā pātai matua e rua ō runga ake nei. 
Tuatahi, 'Ko te amorangi ki mua, ko te hāpai ō ki muri'. E hāngai ana tēnei whakataukī ki te pūmautanga o ngā whakaaro o ngā tūpuna o Pōhara ki ngā kaupapa i kōkirihia ai e tō rātou rangatira, me te āhua o tā ngā tūpuna hāpai i aua kaupapa. I te tīmatanga, nā Piupiu Te Wherowhero rātou i arataki. I te rā nei, ko Te Arikinui, Te Atairangikaahu te manu whakataka pōkai i te ata hāpara, e ngāngahu tonu nei i ngā iwi o te marae o Pōhara. 
Tuarua, 'Kūpapa ki raro, Titiro ake.' Koia tēnei tētehi whakataukī whakahau i ngā uri whakatupu o te marae, o Pōhara, kua waihotia e rātou mā hei kupu ārahi i ngā uri i runga i te marae, i roto anō hoki i te ao hou. He hōhonutanga anō tō te whakataukī nei e tika ana kia whakamāramahia i roto i tēnei tuhinga, hei whāki atu i ngā rerenga kētanga o te āhua o te whakaaro o kui mā, o koro mā, me te āhua o tā rātou noho i te wā i a rātou. 
Ko te whakatau o ngā kōrero, i tutuki pai i ngā tūpuna o te marae o Pōhara ō rātou manako, nā tō rātou kaha ū ki te kaupapa o te Kāhui Ariki, me tō rātou ū ki te kaupapa o te tupuranga o te papakāinga o Pōhara hei marae mō ngā uri whakatupu. Ka noho mai tērā hei whakatohu i tō rātou pakaritanga, me ō rātou whakaaro rangatira hei tauira mā ngā uri whakaheke e whai ake ana i ngā tapuwae o ngā tūpuna. 
Ko ēnei tuhinga hei whakatinana i te ngākau nui kia waituhia ngā kōrero ā ngā rūruhi, ā ngā koroheke, mō te marae o Pōhara, kei ngaro katoa atu ngēnā kōrero e here nei i te ao kōhatu ki te ao hou. 
Nā te ngākau māhaki o ngā kaumātua i whakaae ai kia tuhia te kaupapa nei, kia puta ai ngā kōrero mō Pōhara ki te ao mārama hei painga mō ngā uri whakatupu. Nā rātou i whakatūwhera te kūaha ki tō rātou ao hei kuhu atu ki roto mā te hunga mahira. Ko ngā kongakonga kōrero i taka iho mai i ō rātou puna mahara, kua kohia-ā-rīpenehia hei taonga tuku iho mō ngā iwi o te marae. E tika ana kia puruhia te mauri o ērā kōrero e ngā whānau me ngā uri o te marae. 
I tutuki ai te taha rangahau i ngā kōrero kaumātua i te whakatū wānanga, me te uiui kaumātua. I whāia ngā huarahi e rua nei hei kohikohi i ngā kōrero-ā-waha mō te hītori o Pōhara. Arā noa atu ngā painga i kitea, o te noho tahi a ngā kaumātua i runga tonu i te marae, ki te whakawhitiwhiti whakaaro, kōrero hoki mō ngā rā o mua i waenganui i a rātou. Ā, hei whai ake i ngā kōrero i puta i ngā wānanga, i haere māua ko taku matua ki te torotoro i tēnā, i tēnā o ngā kaumātua e mōhio pai ana ki ngā kōrero, hei whakakīkī i ngā whārua, hei whakawhānui hoki i ngā kōrero. I ngāwari ake taku mahi i te haere tahitanga mai o taku matua, hei hoa mōku. Ko tāna, he āta whakamārama atu i te pūtake o te rangahau, he whakamārama hoki i te whakaaetanga o ngā kaumātua ki tērā mahi. I mōhio pai hoki ia ki ngā kōrero whānui mō te marae, ki ngā tāngata ka kōrerohia, ā, nā konā i taea e ia te whiu atu ētehi pātai, te whakamārama hoki i ahau i muri mai mō te āhua o ētehi o ngā kōrero kāore i tino mārama mai ki ahau. I tū hoki taku matua hei piriti i waenganui i te kaikōrero kaumātua me te kaiuiui rangatahi kia whakawhiti pai ai ngā pātai me ngā whakautu ki waenganui i ngā taha e rua. Koia tērā taku waimarie i roto i ngā mahi uiui kaumātua, ā, koia hoki i tutuki pai ai tērā taha o te rangahau. 
I tae mai ki aku ringa tētehi rīpene o tētehi wānanga i hopukina ai i te tau 1978. Nō taua tau, i haere ake ētehi akonga o te Tari Māori o Te Whare Wānanga o Waikato, i raro i te maru o Wharehuia Milroy ki te rapu i ngā kōrero mō te marae o Pōhara. Heoi anō, i tō rātou hokinga atu ki te kāinga, kāore te nuinga o ngā kōrero i hopukina. Ka waihotia te take nā kia tārewa, ā, tae rawa ki te tau 1990, kātahi ka riro i ahau te rīpene kotahi i ora mai, hei āwhina i aku mahi rangahau mō tōku marae. 
I rapu māramatanga ahau mō te āhua o te noho a te iwi Māori whānui i ngā rā o mua, i roto i ngā pukapuka maha kua tuhia kētia. Mō ngā kōrero mō te whenua e tū nei te marae ināianei, i haere ki te Kooti Whenua Māori, ki reira kimi ai i ngā kōrero mō te rohe o Maungatautari whānui, mō te marae o Pōhara hoki. Nā ēnei whaiwhainga, kua puta he kōrero, kua puta hoki he whakaaro hei whakawā i ērā kōrero, hei whakamārama rānei i ērā kōrero, ā, koia tēnei e takoto nei i roto i tēnei tuhinga. Ka huri ināianei ki te wetewetetanga o ngā wāhanga o roto i te tuhinga nei. 
Nō namata mai anō i tīkina atu ai te rākau i te Wao-nui-ā-Tāne hei tārai i te waka o ōku tūpuna. Tēnei au e tiki atu nei i te rākau hei tauira hanga kōrero mōku. Ko tō te rākau tupu, ki ngā whakaaro o tēnei e tuhi nei, e pērā ana ki te tupu o te kaupapa kia nohoia te marae o Pōhara e tū ana i raro i te maru o Maungatautari. 
Arā noa atu ngā tauritenga o te tupu o te rākau me tō te marae o Pōhara tupu, mai i ōna pūtakenga hei papakāinga, ki te puāwaitanga o te whakaaro kia tū hei marae mō te mokopuna a te motu, mō ngā uri whakatupu, otirā, mō te iwi whānui. 
E whitu anō ngā wāhanga o tō te rākau tupu e whakatauritehia nei i roto i ngā whārangi o tēnei tuhinga. Ko te whenua tonu hei papa mō te tupu o te rākau, mō te tupu hoki o te marae Nō reira, ka tīmata ake i konā.

year: 1997