The use of explicit algorithms and episodic context to teach subtraction to students with learning problems in mathematics /

This research attempted to address the question of the role of explicit algorithms and episodic contexts in the acquisition of computational procedures for regrouping in subtraction. Three groups of students having difficulty learning to subtract with regrouping were taught procedures for doing so through either an explicit algorithm, an episodic content or an examples approach. It was hypothesized that the use of an explicit algorithm represented in a flow chart format would facilitate the acquisition and retention of specific procedural steps relative to the other two conditions. On the other hand, the use of paragraph stories to create episodic content was expected to facilitate the retrieval of algorithms, particularly in a mixed presentation format. The subjects were tested on similar, near, and far transfer questions over a four-day period. Near and far transfer algorithms were also introduced on Day Two. The results suggested that both explicit and episodic context facilitate performance on questions requiring subtraction with regrouping. However, the differential effects of these two approaches on near and far transfer questions were not as easy to identify. Explicit algorithms may facilitate the acquisition of specific procedural steps while at the same time inhibiting the application of such steps to transfer questions. Similarly, the value of episodic context in cuing the retrieval of an algorithm may be limited by the ability of a subject to identify and classify a new question as an exemplar of a particular episodically deflned problem type or category. The implications of these findings in relation to the procedures employed in the teaching of Mathematics to students with learning problems are discussed in detail.

The dual role of students with behavioural problems: an analysis of their experiences as bullies and victims /

The present study examined the bullying experiences of a group of students, age 10-14 years, identified as having behaviour problems. A total often students participated in a series of mixed methodology activities, including self-report questionnaires, story telling exercises, and interview style joumaling. The main research questions were related to the prevalence of bully/victims and the type of bullying experiences in this population. Questionnaires gathered information about their involvement in bullying, as well as about psychological risk factors including normative beliefs about antisocial acts, impulsivity, problem solving, and coping strategies. Journal questions expanded on these themes and allowed students to explain their personal experiences as bullies and victims as well as provide suggestions for intervention. The overall results indicated that all of the ten students in this sample have participated in bullying as both a bully and a victim. This high prevalence of bully/victim involvement in students from behavioural classrooms is in sharp contrast with the general population where the prevalence is about 33%. In addition, a common thread was found that indicated that these students who participated in this study demonstrate characteristics of emotionally dysregulated reactive bullies. Theoretical implication and educational practices are discussed.

Zero-sum problems in finite cyclic groups

The purpose of this thesis is to investigate some open problems in the area of combinatorial number theory referred to as zero-sum theory. A zero-sequence in a finite cyclic group G is said to have the basic property if it is equivalent under group automorphism to one which has sum precisely IGI when this sum is viewed as an integer. This thesis investigates two major problems, the first of which is referred to as the basic pair problem. This problem seeks to determine conditions for which every zero-sequence of a given length in a finite abelian group has the basic property. We resolve an open problem regarding basic pairs in cyclic groups by demonstrating that every sequence of length four in Zp has the basic property, and we conjecture on the complete solution of this problem. The second problem is a 1988 conjecture of Kleitman and Lemke, part of which claims that every sequence of length n in Zn has a subsequence with the basic property. If one considers the special case where n is an odd integer we believe this conjecture to hold true. We verify this is the case for all prime integers less than 40, and all odd integers less than 26. In addition, we resolve the Kleitman-Lemke conjecture for general n in the negative. That is, we demonstrate a sequence in any finite abelian group isomorphic to Z2p (for p ~ 11 a prime) containing no subsequence with the basic property. These results, as well as the results found along the way, contribute to many other problems in zero-sum theory.

Eleanor Ostrander Land Grant, 1801

Eleanor Ostrander, daughter of John Clark, and wife of Jacob Ostrander, petitioned for land on March 28, 1797. In her petition she describes herself as the daughter of a loyalist, John Clark, someone who served in “His Majesty’s Service” and that she came into the Province in 1788. Upon this information, Eleanor was granted 200 acres of land in Thorold Township, comprising of lots 115 and 169. Eleanor Clark (b. 1777) and Jacob Ostrander were married 5 October 1794 in St. Mark’s Church, Niagara-on-the-Lake, Ont.

Books on the border land : a Mennonite woman's memoir of reading and remembering the sacred

This arts-based thesis, written from my perspective as a Manitoba Mennonite woman and English Language Arts educator, is a memoir of books and reading. As a voracious reader, I am dismayed by the general perception of literacy in public schools as being a set of measureable tasks, and I have found that reading, in particular, has become divorced from its traditional link to life-giving and sacred things. In this thesis, I used life writing to share some of my reading history to illustrate, in part, the degree to which books may enrich our lives by helping us understand the past, present, and future - but only if we allow them to do so.

Welland Canal Survey of Lands Robert Brown 1827, land description #2

Survey map and description of Robert Brown's land created by The Welland Canal Company. Included is a two page written description of the land along with a drawing of the land. Noteable features include; line between Grantham and Louth townships, bed of the 12 mile creek. Surveyor notes are seen in pencil on the map, including notes about the deed to the land.

Welland Canal Survey of Lands Company Land in Dunnville, 1834

Survey map and description of the land belonging to the Welland Canal Company at Dunnville. Created by The Welland Canal Company. Included is a written description of the land along with a drawing of the land. There are two seperate surveys done for the lands: Survey #1 (Pp. 148-149) noteable features include; the Grand River, the original boundry of the Grand River, marsh overflow, marsh, feeder river, bridge, Broad street, Lock street, Main street, embankment, dam (600 ft.), lines between lots, reserve for the ships yard, reserve for lock and dry dock, lands occupied by the canal and towpath to guard gate. The land totals 9 acres, and 3 roads, including the street. Survey #2 (Pp. 150-151) completed by George Keefer noteable features include; embankment, marsh overflow, original channel of the Grand River, salt spring, bridges, wier, proposed waste wier, Van Riper's home, proposed bridge, sulphur spring, road, Sulphur Creek, division between lots 12-17. The land totals 27 acres, and 2 perches. Surveyors notes can be seen in pencil and red ink on the survey.See also Pp. 148-151

Welland Canal Survey of Lands Welland Canal Company Land in Thorold, 1834

Survey map of the lands of the Welland Canal Company in Thorold. Created by The Welland Canal Company. Noteable features include; Company's land, reservoir, channel of canal, bridge, Pine street, Mullen street, lot divisions. The plan is titled "Plan of Lands belonging to the Welland Canal Company being the West half of lot no. 29 and the East half of lot no.30 in the township of Thorold, adjoining Marlats Reservoir laid out in town lots, November 24th, 1834". Surveyor notes are seen in pencil on the map.

Land Indenture Between Daniel Robins and George Hansil- December 2, 1814

An indenture of land sold from Daniel Robins of Thorold to George Hansil of Pelham for Lot 32 (100 acres) in the 5th Concession of the Township of Wainfleet.

Land Grant for Eleanor Ostrander

This is a land grant for Eleanor Ostrander for 200 acres, Lots 115 and 169, in the Township of Thorold, County of Lincoln, District of Niagara.

Land deed between Daniel Cline and Cornelius Benner, 1839

A land deed for a parcel of land in the district of Niagara purchased by Daniel Cline and his wife Jamima for the sum of two hundred pounds. The land purchased involved lot numbers 5 and 6 in the 2nd concession in the Township of Humberstone, County of Lincoln, District of Niagara. The land was sold by Cornelius Benner and the deed is dated January 17, 1839.

Township of Crowland. Petition and letter regarding a land dispute, 1854, 1855.

Consists of a petition by residents of the Township of Crowland, and a letter addressed to the Hon. Commissioner of Crown Lands. Both items concern a dispute of a land survey. The petition is dated May 26, 1854, and is by inhabitants of the fourth concession in the Township of Crowland. The petition is signed by 9 residents. The names include James Cook (?), Samuel Buchner, James Rock (?), Wm. Vanalstine (?), Seth Skinner, Daniel Holcomb, P. Skinner (?), Henry Buchner, and Cornelius McHay (?). The letter is dated July 20, 1855 and is addressed to the Hon. Commissioner of Crown Lands, Quebec. It is signed by Arthur Johnston, Town Reeve, Bertie.

Repertory grid adaptations in detecting connotative trends and social behaviour problems in education

Please consult the paper edition of this thesis to read. It is available on the 5th Floor of the Library at Call Number: Z 9999 E38 K66 1983

Competing and Conflicting Land Uses at the Rural-Urban Interface: Understanding the Impacts of Residential Development on Agricultural Landscapes

Rural communities are currently undergoing rapid restructuring as globalization impacts the future viability of many small towns. Agricultural regions throughout Canada, in particular, Niagara-on-the-Lake, are forced to adapt to changes within the industry. In addition to these challenges, sprawling residential developments from nearby urban centres are changing the dynamic of this town, resulting in conflicts between the residential and agricultural land uses. This thesis explores these conflicts from the perspective of the residents and the farmers. It was found that the initial sources of conflict related to noise-generating farm activities are no longer a concern, while the use of pesticide have become a source of contention among the residents. The farmers, alternately, were found to be proactive and strived to limit the potential for conflict with adjacent residents. Lastly, it was determined that planning legislation aggravates land use conflicts within Niagara-on-the-Lake and need to better address these land use conflicts.