title: Probability exploration in a game context: The dice difference game

authors: Sharma, Sashi

abstract: Overview of lesson
Learning about probability poses difficulties for students at all levels. In this lesson students are asked to make predictions about the fairness of a dice
difference game and then test them by gathering and examining data. Student predictions and conclusions are examined and re‐examined in interactions among small group members and whole class or group and teacher. This lesson also addresses some common misconceptions relating to probability of simple and compound events.
Learning objectives
• Deriving and comparing experimental estimates with theoretical model probabilities for two‐stage experiments (e.g., tossing two dice)
• Generating and comparing experimental probabilities from multiple samples
• Comparing experimental probability estimates with theoretical probabilities calculated from generating the sample space for the game and using theoretical probabilities to solve problems relating to “fair games”
• Conducting investigations using the PPDAC cycle from a probabilistic perspective
Suggested age range
With modifications, the game can be used with 11 to 14‐year‐olds.
Time required
Two 60‐minute lessons may be required for the main part of the investigation.

text: Probability exploration in a game context: The dice difference game Overview of lesson
Learning about probability poses difficulties for students at all levels. In this lesson students are asked to make predictions about the fairness of a dice
difference game and then test them by gathering and examining data. Student predictions and conclusions are examined and re‐examined in interactions among small group members and whole class or group and teacher. This lesson also addresses some common misconceptions relating to probability of simple and compound events.
Learning objectives
• Deriving and comparing experimental estimates with theoretical model probabilities for two‐stage experiments (e.g., tossing two dice)
• Generating and comparing experimental probabilities from multiple samples
• Comparing experimental probability estimates with theoretical probabilities calculated from generating the sample space for the game and using theoretical probabilities to solve problems relating to “fair games”
• Conducting investigations using the PPDAC cycle from a probabilistic perspective
Suggested age range
With modifications, the game can be used with 11 to 14‐year‐olds.
Time required
Two 60‐minute lessons may be required for the main part of the investigation.

year: 2019

title: A water quality model for Lake Tikitapu

authors: McBride, Chris G.

abstract: Lake Tikitapu is a small lake in the Rotorua Te Arawa Lakes region which is extensively used for recreation and sporting events, and is of cultural significance to Iwi (Te Arawa). It is an attractive and popular lake with oligotrophic-mesotrophic water quality. Tikitapu's target Trophic Level Index (TLI; Burns 1999) is 2.7, whereas a TLI of approximately 3 was observed between 2000 and 2010. An Action Plan has been established for Lake Tikitapu (BoPRC 2011) and the proposed actions have now been completed (as at 2015), including the reticulation of the lakeside wastewater systems.
This report describes the establishment of a one-dimensional hydrodynamic-ecological computer water quality model (DYRESM-CAEDYM) for Lake Tikitapu. The modelling process includes calculations for catchment and lake water balances, as well as estimation of nutrient loads to the lake. The simulation period spans from 2001 to 2010. The model has been calibrated and validated, and model performance is acceptable relative to other DYRESM-CAEDYM lake applications documented in the literature.
The established model can be used for simulating scenarios of lake management actions, and can be considered a 'decision support tool'. Initial simulations are presented for increased diffusion of silica from lake sediments (C. Hendy, pers. comm.), and for reticulation of lakeside wastewater systems. Septic systems comprise a large fraction of estimated annual nutrient loads, particularly for phosphorus. As such, simulation of the removal of septic tank nutrient loads indicated that this action alone may be sufficient to meet the TLI target for the lake.

text: A water quality model for Lake Tikitapu Lake Tikitapu is a small lake in the Rotorua Te Arawa Lakes region which is extensively used for recreation and sporting events, and is of cultural significance to Iwi (Te Arawa). It is an attractive and popular lake with oligotrophic-mesotrophic water quality. Tikitapu's target Trophic Level Index (TLI; Burns 1999) is 2.7, whereas a TLI of approximately 3 was observed between 2000 and 2010. An Action Plan has been established for Lake Tikitapu (BoPRC 2011) and the proposed actions have now been completed (as at 2015), including the reticulation of the lakeside wastewater systems.
This report describes the establishment of a one-dimensional hydrodynamic-ecological computer water quality model (DYRESM-CAEDYM) for Lake Tikitapu. The modelling process includes calculations for catchment and lake water balances, as well as estimation of nutrient loads to the lake. The simulation period spans from 2001 to 2010. The model has been calibrated and validated, and model performance is acceptable relative to other DYRESM-CAEDYM lake applications documented in the literature.
The established model can be used for simulating scenarios of lake management actions, and can be considered a 'decision support tool'. Initial simulations are presented for increased diffusion of silica from lake sediments (C. Hendy, pers. comm.), and for reticulation of lakeside wastewater systems. Septic systems comprise a large fraction of estimated annual nutrient loads, particularly for phosphorus. As such, simulation of the removal of septic tank nutrient loads indicated that this action alone may be sufficient to meet the TLI target for the lake.

year: 2014

title: Bucking the Trends: Increasing retention rates of Māori students enrolled in Faculty of Arts and Social Sciences courses at the University of Waikato

authors: Levy, Michelle Patricia

subjects: Maori

abstract: Reports on the success of the Faculty of Arts and Social Sciences at the University of Waikato’s monitoring and support for Maori students initiative. The aim of the initative was to implement a support system in the FASS that would enhance retention rates for
Māori students in the Faculty.

text: Bucking the Trends: Increasing retention rates of Māori students enrolled in Faculty of Arts and Social Sciences courses at the University of Waikato Reports on the success of the Faculty of Arts and Social Sciences at the University of Waikato’s monitoring and support for Maori students initiative. The aim of the initative was to implement a support system in the FASS that would enhance retention rates for
Māori students in the Faculty.

year: 2003